Andrei Khrennikov is Professor of Mathematics at the Department of Mathematics at Linnaeus University. Andrei is also director of the research group International Center for Mathematical Modeling (ICMM) and organizer of some 20 conferences in the field of quantum theory at Linnaeus University.
Research
My research activity can be characterized as extensively multi-disciplinary. (Sometimes I am surprised by myself that all these diverse studies covering so different areas of science were done by the same person.) The research activities are split in the basic disciplines: Mathematics, physics, and biology, cognition, psychology and behavioral economics.
Mathematics, pure and applied
- Infinite-Dimensional Analysis and Feynman Integration
- Functional Superanalysis
- P-adic and non-Archimedean Analysis, the Q_p to Q_p
- P-adic dynamical systems
- P-adic and Ultrametric Analysis, Wavelets, Distributions, Pseudo-differential Operators, the Q_p to C case;
- Foundations of Probability Theory
Physics, mathematical and theoretical
- Quantization of systems with infinite number of degrees of freedom
- Quantization of p-adic and non-Archimedean physical systems
- Probabilistic foundations of quantum mechanics and Bell’s inequality
- Classical random field model of quantum mechanics
Biology, cognition, psychology and behavioral economics
- Quantum-like models: molecular biology, cognition, psychology, behavioral economics, social science
- Econophysics: modeling of price dynamics on the basis of expectations of traders of the financial market
- P-adic dynamical models of cognitive and biological processes
The quantum theory conferences in Växjö
The Växjö series of quantum theory conferences is arranged by ICMM, International Center for Mathematical Modeling in physics, engineering and cognitive sciences, at Linnaeus University in Växjö, Sweden. It is devoted to quantum foundations, information and novel quantum technologies (cryptography, random generators, imaging, computing) and probabilistic foundations. The main point is that quantum mechanics is essentially about a novel representation of probabilistic data and predictions about the results of random experiments.
This is the longest continuous series of conferences on quantum foundations since the creation of quantum mechanics. It was started in 2000 and goes on annually. This series was generated by the revolution in quantum information theory at the end of the 20th century.
The series of conferences can be characterized by two distinguishing features:
A). Openness for expression of opinions on the origin or problems of quantum mechanical foundations and their relation to the problems of probability theory and the possible ways of their resolution.
B). Creation of actively interacting mixture of top experts in theory and experiments and even a few philosophers.
From this viewpoint this conference-series is definitely unique. One cannot find anything similar anywhere in the world. At the first stage, I even try to involve pure mathematicians to create knowledge transfer between mathematics and physics.
More about the conference series
Experimenters working in quantum optics and neutron interferometry, quantum information technologies represent an important part of the team of invited speakers. In general, the conferences are planned as events unifying the efforts of experts in foundations, mathematical methods, and experimenters to clarify the fundamental questions of quantum theory and its future applications.
Historically, I can mention Christopher Fuchs as one of the creators of the series. In 2001 he came to Växjö with the great team, including Asher Pers, David Mermin, Daniel Greenberger, Lev Vaidman, Carlton Caves, Richard Josza, Lucien Hardy, Hery Folse, Arkady Plotnitsky and other bright physicists and philosophers. This event lifted the conference status enormously and attracted other top experts with the interest to quantum foundations, especially from USA. I also point to the "Austrian-branch" of the conference organizational efforts. Here Helmut Rauch and Gregor Weihs contributed a lot, during the last years the active participation of Anton Zeilinger and people from his lab also played the important role.
I also want to mention the stormy debates between Richard Gill and Jan-Åke Larsson from one side and Luigi Accardi and later also Karl Hess and Walter Philipp from another side during the initial stage of the conference series which were extremely important for clarification of positions of various groups of experts with respect the probabilistic structure of violations of Bell's inequality.
The participation of Gerard ´t Hooft supported essentially the position of researchers rejecting the conventional interpretation of quantum mechanics.
Växjö definitely played the crucial role in development of QBism. Here the Bayesian approach to quantum probabilities was actively advertised and debated.
Växjö-presentations also contributed a lot to development of the information approach to quantum theory by Mauro D'Ariano and his students.
I personally enjoyed lectures of Arkady Plotnitsky about views of Born, Heisenberg, and Schrödinger and recently Pauli. Nowadays not so many even experts read the original sources, so such lecturing is useful.
I really appreciate recent efforts of Alan Migdall and Sergey Polyakov from NIST, USA, to organize the top level experimental sessions.
Of course, the Växjö-series of conferences is the project of the great complexity and not without problems. For example, consider openness. Here I have to filter originality of mind from craziness. In some cases this is really a difficult task, because the difference is tinny, especially in the case of quantum foundations.
Another problem, at least for some physicists, that there are "too many philosophers". (In fact, they are one-three...) Some theoreticians are angry that there are too many experimental talks and so on. However, in general people are satisfied and many of them come to Växjö again and again.
Films from the conferences
- Quantum Information and Probability: From Foundations to Engineering (QIP), 2021
- Foundations of Quantum Mechanics and Technology (FQMT), 2017
- Quantum and Beyond (QB), 2016
Pictures from the conferences
- Towards Ultimate Quantum Theory (UQT), 2018
My research groups
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International Center for Mathematical Modeling ICMM is a centre for research in mathematical modelling, applicable within a number of different subjects and fields. Since 2000, the research group has…
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Scientific Computing and Partial Differential Equations Within this research theme, we study numerical methods for partial differential equations, analysis of differential and pseudo-differential…
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Stochastic Analysis and Stochastic Processes The researchers of this group focus on analytical and numerical aspects of solutions to stochastic differential equations (SDE’s and SPDE’s) and stochastic…
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Waves, Signals and Systems The research in waves, signals and systems deals primarily with acoustic and electromagnetic direct and inverse problems, with engineering and industrial applications.
My ongoing research projects
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Project: Information, Coding, and Biological Function: the Dynamics of Life (DYNALIFE) The aim of the project is to contribute to emergence of two new scientific disciplines: molecular biology and…
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Project: Quantum Information Access and Retrieval Theory (QUARTZ) Quantum Information Access and Retrieval Theory (QUARTZ) is a project that aims to educate early stage researchers to adopt a novel,…
Publications
Article in journal (Refereed)
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Yurova Axelsson, E., Khrennikov, A. (2024). Generation of genetic codes with 2-adic codon algebra and adaptive dynamics. Biosystems (Amsterdam. Print). 240.
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Khrennikov, A. (2024). Contextual measurement model and quantum theory. Royal Society Open Science. 11 (3).
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Khrennikov, A. (2024). Ozawa’s Intersubjectivity Theorem as Objection to QBism Individual Agent Perspective. International journal of theoretical physics. 63 (1).
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Khrennikov, A. (2024). Relational Quantum Mechanics : Ozawa's Intersubjectivity Theorem as Justification of the Postulate on Internally Consistent Descriptions. Foundations of physics. 54 (3).
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Khrennikov, A. (2024). Characterization of Entanglement via Non-Existence of a Subquantum Random Field. Annalen der Physik. 536 (9).
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Khrennikov, A., Iryama, S., Basieva, I., Sato, K. (2024). Quantum-like environment adaptive model for creation of phenotype. Biosystems (Amsterdam. Print). 242.
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Ozawa, M., Khrennikov, A. (2023). Nondistributivity of human logic and violation of response replicability effect in cognitive psychology. Journal of mathematical psychology (Print). 112.
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Shor, O., Benninger, F., Khrennikov, A. (2023). Rao-Fisher information geometry and dynamics of the event-universe views distributions. Heliyon. 9 (9).
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Khrennikov, A. (2023). Open Systems, Quantum Probability, and Logic for Quantum-like Modeling in Biology, Cognition, and Decision-Making. Entropy. 25 (6).
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Baladrón, C., Khrennikov, A. (2023). Simulation of Closed Timelike Curves in a Darwinian Approach to Quantum Mechanics. Universe. 9 (2).
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Shor, O., Yaniv-Rosenfeld, A., Valevski, A., Weizman, A., Khrennikov, A., et al. (2023). EEG-based spatio-temporal relation signatures for the diagnosis of depression and schizophrenia. Scientific Reports. 13 (1).
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Ando, T., Asano, M., Khrennikov, A., Matsuoka, T., Yamato, I. (2023). Adaptive Dynamics Simulation of Interference Phenomenon for Physical and Biological Systems. Entropy. 25 (11).
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Khrennikov, A. (2023). Bild Conception of Scientific Theory Structuring in Classical and Quantum Physics : From Hertz and Boltzmann to Schrödinger and De Broglie. Entropy. 25 (11).
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Shor, O., Benninger, F., Khrennikov, A. (2023). Quantization of events in the event-universe and the emergence of quantum mechanics. Scientific Reports. 13 (1).
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Khrennikov, A., Basieva, I. (2023). Entanglement of Observables : Quantum Conditional Probability Approach. Foundations of physics. 53.
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Alodjants, A., Zacharenko, P., Tsarev, D., Avdyushina, A., Nikitina, M., et al. (2023). Random Lasers as Social Processes Simulators. Entropy. 25 (12).
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Khrennikov, A. (2022). On Applicability of Quantum Formalism to Model Decision Making : Can Cognitive Signaling Be Compatible with Quantum Theory?. Entropy. 24 (11).
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Shor, O., Benninger, F., Khrennikov, A. (2022). Towards Unification of General Relativity and Quantum Theory : Dendrogram Representation of the Event-Universe. Entropy. 24 (2).
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Rosner, A., Basieva, I., Barque-Duran, A., Gloeckner, A., Von Helversen, B., et al. (2022). Ambivalence in decision making : An eye tracking study. Cognitive Psychology. 134.
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Rafai, I., Duchene, S., Guerci, E., Basieva, I., Khrennikov, A. (2022). The triple-store experiment : a first simultaneous test of classical and quantum probabilities in choice over menus. Theory and Decision. 92. 387-406.
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Shor, O., Benninger, F., Khrennikov, A. (2022). Dendrographic Hologram Theory : Predictability of Relational Dynamics of the Event Universe and the Emergence of Time Arrow. Symmetry. 14 (6).
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Khrennikov, A. (2022). Social Fröhlich condensation : preserving societal order through sufficiently intensive information pumping. Kybernetes. 51 (13). 138-155.
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Basieva, I., Khrennikov, A. (2022). "What Is Life?" : Open Quantum Systems Approach. Open systems & information dynamics. 29 (4).
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Khrennikov, A. (2022). Against Identification of Contextuality with Violation of the Bell Inequalities : Lessons from Theory of Randomness. Journal of Russian Laser Research. 43 (1). 48-59.
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Khrennikov, A. (2022). Order stability via Fröhlich condensation in bio, eco, and social systems : The quantum-like approach. Biosystems (Amsterdam. Print). 212.
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Alodjants, A.P., Bazhenov, A.Y., Khrennikov, A., Bukhanovsky, A.,.V. (2022). Mean-field theory of social laser. Scientific Reports. 12 (1).
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Basieva, I., Khrennikov, A. (2022). Conditional probability framework for entanglement and its decoupling from tensor product structure. Journal of Physics A : Mathematical and Theoretical. 55 (39).
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Shor, O., Benninger, F., Khrennikov, A. (2021). Dendrogramic Representation of Data : CHSH Violation vs. Nonergodicity. Entropy. 23 (8).
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Pothos, E.M., Lewandowsky, S., Basieva, I., Barque-Duran, A., Tapper, K., et al. (2021). Information overload for (bounded) rational agents. Proceedings of the Royal Society of London. Biological Sciences. 288 (1944).
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Khrennikov, A. (2021). Quantum-like model for unconscious-conscious interaction and emotional coloring of perceptions and other conscious experiences. Biosystems (Amsterdam. Print). 208.
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Khrennikov, A. (2021). Ultrametric diffusion equation on energy landscape to model disease spread in hierarchic socially clustered population. Physica A : Statistical Mechanics and its Applications. 583.
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Khrennikov, A. (2021). Can There be Given Any Meaning to Contextuality Without Incompatibility?. International journal of theoretical physics. 60. 106-114.
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Ozawa, M., Khrennikov, A. (2021). Modeling combination of question order effect, response replicability effect, and QQ-equality with quantum instruments. Journal of mathematical psychology (Print). 100. 1-16.
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Surov, I.A., Semenenko, E., Platonov, A.V., Bessmertny, I.A., Galofaro, F., et al. (2021). Quantum semantics of text perception. Scientific Reports. 11 (1). 1-13.
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Dragovich, B., Khrennikov, A., Kozyrev, S.V., Misic, N.Z. (2021). p-Adic mathematics and theoretical biology. Biosystems (Amsterdam. Print). 199.
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Khrennikov, A. (2021). Quantum postulate vs. quantum nonlocality : on the role of the Planck constant in Bell's argument. Foundations of physics. 51 (1). 1-12.
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Khrennikov, A. (2021). Formalization of Bohr's Contextuality Within the Theory of Open Quantum Systems. Journal of Russian Laser Research. 42 (4). 371-377.
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Khrennikov, A., Lyubarsky, Y., Khrennikov, A. (2021). Principles of Constructing Artificial Intelligence Systems and their Application in Electrical Power Industry. Energy Systems Research. 4 (4). 63-78.
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Basieva, I., Khrennikov, A., Ozawa, M. (2021). Quantum-like modeling in biology with open quantum systems and instruments. Biosystems (Amsterdam. Print). 201. 1-11.
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Khrennikov, A. (2021). Is the Devil in h?. Entropy. 23 (5).
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Khrennikov, A., Watanabe, N. (2021). Order-Stability in Complex Biological, Social, and AI-Systems from Quantum Information Theory. Entropy. 23 (3).
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Shor, O., Benninger, F., Khrennikov, A. (2021). Representation of the Universe as a Dendrogramic Hologram Endowed with Relational Interpretation. Entropy. 23 (5).
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Shor, O., Glik, A., Yaniv-Rosenfeld, A., Valevski, A., Weizman, A., et al. (2021). EEG p-adic quantum potential accurately identifies depression, schizophrenia and cognitive decline. PLOS ONE. 16 (8).
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Khrennikov, A. (2021). Bell-inequality and two slit experiments : comparing misapplication of classical probability by Feynman and Bell. Computational nanotechnology. 3. 19-22.
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Khrennikov, A. (2021). Roots of quantum computing supremacy : superposition, entanglement, or complementarity?. The European Physical Journal Special Topics. 230. 1053-1057.
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Khrennikov, A., Oleschko, K. (2020). An Ultrametric Random Walk Model for Disease Spread Taking into Account Social Clustering of the Population. Entropy. 22 (9). 1-13.
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Khrennikov, A. (2020). Social Laser Model for the Bandwagon Effect : Generation of Coherent Information Waves. Entropy. 22 (5). 1-17.
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Khrennikov, A. (2020). Two Faced Janus of Quantum Nonlocality. Entropy. 22 (3). 1-17.
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Khrennikov, A. (2020). Quantum-like modeling : cognition, decision making, and rationality. Mind & Society. 19 (2). 307-310.
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Iurato, G., Khrennikov, A. (2020). A Reader’s Comment on: “Hysteresis Model of Unconscious-Conscious Interconnection: Exploring Dynamics on m-Adic Trees. P-Adic Numbers, Ultrametric Analysis, and Applications. 12 (1). 68-71.
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Iurato, G., Khrennikov, A. (2020). Entropy, externality and human evolution. Biosystems (Amsterdam. Print). 191. 1-8.
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Antoniouk, A.V., Khrennikov, A., Kochubei, A.N. (2020). Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables. Journal of Pseudo-Differential Operators and Applications. 11 (1). 311-343.
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Ozawa, M., Khrennikov, A. (2020). Application of Theory of Quantum Instruments to Psychology : Combination of Question Order Effect with Response Replicability Effect. Entropy. 22 (1). 1-14.
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Khrennikov, A., Haven, E. (2020). Quantum-like Modeling: from Economics to Social Laser. Asian Journal of Economics and Banking. 4 (1). 87-99.
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Khrennikov, A., Raedt, H.D., Plotnitsky, A., Polyakov, S. (2020). Preface of the Special Issue Probing the Limits of Quantum Mechanics : Theory and Experiment Volume 2. Foundations of physics. 50 (11). 1735-1738.
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Khrennikov, A., Asano, M. (2020). A Quantum-Like Model of Information Processing in the Brain. Applied Sciences. 10 (2). 1-14.
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Pourhadi, E., Khrennikov, A., Saadati, R. (2020). On the p-Adic analog of Richards' equation with the finite difference method. Infinite Dimensional Analysis Quantum Probability and Related Topics. 23 (4).
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Khrennikov, A., Kochubei, A.N. (2020). On the p-adic Navier-Stokes equation. Applicable Analysis. 99 (8). 1425-1435.
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Fuchs, C.A., Khrennikov, A. (2020). Preface to Special Issue : Quantum Information Revolution: Impact to Foundations. Foundations of physics. 50. 1757-1761.
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Rashkovskiy, S., Khrennikov, A. (2020). Psychological 'double-slit experiment' in decision making : Quantum versus classical. Biosystems (Amsterdam. Print). 195. 1-11.
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Khrennikov, A. (2020). Quantum Versus Classical Entanglement : Eliminating the Issue of Quantum Nonlocality. Foundations of physics. 50 (12). 1762-1780.
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Pourhadi, E., Khrennikov, A., Oleschko, K., Lopez, M.D.J.C. (2020). Solving Nonlinearp-Adic Pseudo-differential Equations : Combining the Wavelet Basis with the Schauder Fixed Point Theorem. Journal of Fourier Analysis and Applications. 26 (4). 1-23.
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Rashkovskiy, S., Khrennikov, A. (2019). Generalized Fock space and contextuality. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 377 (2157).
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Khrennikov, A. (2019). Hertz’s Viewpoint on Quantum Theory. Activitas Nervosa Superior : Journal for Neuroscience and Cognitive Research. 61. 24-30.
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Pourhadi, E., Khrennikov, A., Saadati, R., Oleschko, K., Correa Lopez, M.D.J. (2019). Solvability of the p-Adic Analogue of Navier–Stokes Equation via the Wavelet Theory. Entropy. 21 (11). 1-20.
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Tsarev, D., Trofimova, A., Alodjants, A., Khrennikov, A. (2019). Phase transitions, collective emotions and decision-making problem in heterogeneous social systems. Scientific Reports. 9. 1-13.
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Wu, B., Khrennikov, A. (2019). p-Adic Analogue of the Wave Equation. Journal of Fourier Analysis and Applications. 25 (5). 2447-2462.
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Pothos, E.M., Basieva, I., Khrennikov, A., Yearsley, J.M. (2019). Perspectives on Correctness in Probabilistic Inference from Psychology. The Spanish Journal of Psychology. 22. 1-12.
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Khrennikov, A. (2019). Get Rid of Nonlocality from Quantum Physics. Entropy. 21 (8).
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Khrennikov, A., Svozil, K. (2019). Quantum Probability and Randomness. Entropy. 21 (1). 1-5.
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Melkikh, A.V., Khrennikov, A., Yampolskiy, R.V. (2019). Quantum metalanguage and the new cognitive synthesis. NeuroQuantology. 17 (1). 72-96.
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Loubenets, E.R., Khrennikov, A. (2019). Quantum analog of the original Bell inequality for two-qudit states with perfect correlations/anticorrelations. Journal of Physics A : Mathematical and Theoretical. 52 (43).
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Basieva, I., Cervantes, V.H., Dzhafarov, E.N., Khrennikov, A. (2019). True Contextuality Beats Direct Influences in Human Decision Making. Journal of experimental psychology. General. 148 (11). 1925-1937.
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Basieva, I., Khrennikova, P., Pothos, E.M., Asano, M., Khrennikov, A. (2018). Quantum-like model of subjective expected utility. Journal of Mathematical Economics. 78. 150-162.
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Khrennikov, A. (2018). Social laser model : from color revolutions to Brexit and election of Donald Trump. Kybernetes. 47 (2). 273-288.
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Khrennikov, A. (2018). Towards Better Understanding QBism. Foundations of Science. 23 (1). 181-195.
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Khrennikov, A., Loubenets, E.R. (2018). Evaluating the Maximal Violation of the Original Bell Inequality by Two-Qudit States Exhibiting Perfect Correlations/Anticorrelations. Entropy. 20 (11).
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D'ariano, M., Khrennikov, A., Melucci, M. (2018). Special Issue "Quantum Mechanics: From Foundations to Information Technologies". Entropy. 20 (6).
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Khrennikov, A., Basieva, I. (2018). Towards Experiments to Test Violation of the Original Bell Inequality. Entropy. 20 (4).
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Pourhadi, E., Khrennikov, A. (2018). On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over p-adic field. P-Adic Numbers, Ultrametric Analysis, and Applications. 10 (4). 322-343.
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Khrennikov, A., Kochubei, A.N. (2018). p-Adic Analogue of the Porous Medium Equation. Journal of Fourier Analysis and Applications. 24 (5). 1401-1424.
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Yurova, E., Khrennikov, A. (2018). Subcoordinate Representation of p-adic Functions and Generalization of Hensel's Lemma. Izvestiya. Mathematics. 82 (3). 632-645.
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Bagarello, F., Basieva, I., Khrennikov, A. (2018). Quantum field inspired model of decision making : Asymptotic stabilization of belief state via interaction with surrounding mental environment. Journal of mathematical psychology (Print). 82. 159-168.
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Bagarello, F., Basieva, I., Pothos, E.M., Khrennikov, A. (2018). Quantum like modeling of decision making : Quantifying uncertainty with the aid of Heisenberg-Robertson inequality. Journal of mathematical psychology (Print). 84. 49-56.
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Khrennikov, A., Alodjants, A., Trofimova, A., Tsarev, D. (2018). On Interpretational Questions for Quantum-Like Modeling of Social Lasing. Entropy. 20 (12).
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Asano, M., Basieva, I., Pothos, E.M., Khrennikov, A. (2018). State Entropy and Differentiation Phenomenon. Entropy. 20 (6).
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Antoniouk, A.V., Oleschko, K., Kochubei, A.N., Khrennikov, A. (2018). A stochastic p-adic model of the capillary flow in porous random medium. Physica A : Statistical Mechanics and its Applications. 505. 763-777.
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Lozada Aguilar, M.A., Khrennikov, A., Oleschko, K. (2018). From axiomatics of quantum probability to modelling geological uncertainty and management of intelligent hydrocarbon reservoirs with the theory of open quantum systems. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 376 (2118).
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Khrennikov, A., Basieva, I., Pothos, E.M., Yamato, I. (2018). Quantum probability in decision making from quantum information representation of neuronal states. Scientific Reports. 8.
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Khrennikov, A., Yurova, E. (2017). Automaton model of protein : Dynamics of conformational and functional states. Progress in Biophysics and Molecular Biology. 130 (A). 2-14.
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Khrennikov, A. (2017). Bohr against Bell : complementarity versus nonlocality. Open Physics. 15 (1). 734-738.
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Iurato, G., Khrennikov, A. (2017). On the topological structure of a mathematical model of human unconscious. P-Adic Numbers, Ultrametric Analysis, and Applications. 9 (1). 78-81.
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Adenier, G., Khrennikov, A. (2017). Test of the no-signaling principle in the Hensen loophole-free CHSH experiment. Fortschritte der Physik. 65 (9).
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Oleschko, K., Khrennikov, A. (2017). Transport through a network of capillaries from ultrametric diffusion equation with quadratic nonlinearity. Russian journal of mathematical physics. 24 (4). 505-516.
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Basieva, I., Pothos, E., Trueblood, J., Khrennikov, A., Busemeyer, J. (2017). Quantum probability updating from zero priors (by-passing Cromwell's rule). Journal of mathematical psychology (Print). 77. 58-69.
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Khrennikov, A. (2017). After Bell. Fortschritte der Physik. 65 (6-8).
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Aref’eva, I. .Y., Djordjevic, G.S., Khrennikov, A., Kozyrev, S.V., Rakic, Z., et al. (2017). p-Adic mathematical physics and B. Dragovich research. P-Adic Numbers, Ultrametric Analysis, and Applications. 9 (1). 82-85.
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Khrennikov, A. (2017). Quantum epistemology from subquantum ontology : Quantum mechanics from theory of classical random fields. Annals of Physics. 377. 147-163.
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Melkikh, A.V., Khrennikov, A. (2017). Quantum-like model of partially directed evolution. Progress in Biophysics and Molecular Biology. 125. 36-51.
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Khrennikov, A. (2017). The Present Situation in Quantum Theory and its Merging with General Relativity. Foundations of physics. 47 (8). 1077-1099.
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Khrennikov, A., Smolyanov, O.G. (2017). Measures on the Hilbert space of a quantum system. Russian journal of mathematical physics. 24 (2). 234-240.
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Dragovich, B., Khrennikov, A., Misic, N.Z. (2017). Summation of p-Adic Functional Series in Integer Points. Filomat. 31 (5). 1339-1347.
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Haven, E., Khrennikov, A. (2017). The use of action functionals within the quantum-like paradigm. Journal of mathematical psychology (Print). 78. 13-23.
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Khrennikov, A., Majid, A. (2017). Large Deviation Principle for the Field in Prequantum Classical Statistical Field Theory. Infinite Dimensional Analysis Quantum Probability and Related Topics. 20 (04).
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Dzhafarov, E., Haven, E., Khrennikov, A., Sozzo, S. (2017). Foreword. Journal of mathematical psychology (Print). 78. 1-1.
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Oleschko, K., Khrennikov, A., De Jesus Correa Lopez, M. (2017). P-Adic Analog of Navier-Stokes Equations : Dynamics of Fluid's Flow in Percolation Networks (from Discrete Dynamics with Hierarchic Interactions to Continuous Universal Scaling Model). Entropy. 19 (4).
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Dragovich, B., Khrennikov, A., Mišić, N.Ž. (2017). Ultrametrics in the genetic code and the genome. Applied Mathematics and Computation. 309. 350-358.
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Dragovich, B., Khrennikov, A., Kozyrev, S.V., Volovich, I.V., Zelenov, E.I. (2017). p-Adic mathematical physics : the first 30 years. P-Adic Numbers, Ultrametric Analysis, and Applications. 9 (2). 87-121.
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Oleschko, K., Khrennikov, A. (2017). Applications of p-adics to geophysics : Linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions. Theoretical and mathematical physics. 190 (1). 154-163.
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Khrennikov, A. (2017). Emergence of quantum mechanics from theory of random fields. Journal of Russian Laser Research. 38 (1). 9-26.
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Bagarello, F., Haven, E., Khrennikov, A. (2017). A model of adaptive decision-making from representation of information environment by quantum fields. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 375 (2106).
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Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. (2017). A quantum-like model of selection behavior. Journal of mathematical psychology (Print). 78. 2-12.
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Lozada Aguilar, M.A., Khrennikov, A., Oleschko, K., De Jesus Correa, M. (2017). Quantum Bayesian perspective for intelligence reservoir characterization, monitoring and management. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 375 (2106).
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Khrennikov, A. (2017). Buonomano against Bell : Nonergodicity or nonlocality?. International Journal of Quantum Information. 15 (8).
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Khrennikov, A. (2016). p-adic numbers : from superstrings and molecular motors to cognition and psychology. Banach Center Publications. 109. 47-56.
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Haven, E., Khrennikov, A. (2016). Statistical and subjective interpretations of probability in quantum-like models of cognition and decision making. Journal of mathematical psychology (Print). 74. 82-91.
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Iurato, G., Khrennikov, A., Murtagh, F. (2016). Formal foundations for the origins of human consciousness. P-Adic Numbers, Ultrametric Analysis, and Applications. 8 (4). 249-279.
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Khrennikov, A. (2016). Analog of Formula of Total Probability for Quantum Observables Represented by Positive Operator Valued Measures. International journal of theoretical physics. 55 (9). 3859-3874.
Status: Published -
Khrennikov, A. (2016). Quantum Bayesianism as the basis of general theory of decision-making. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 374 (2068).
Status: Published -
Baladron, C., Khrennikov, A. (2016). Quantum formalism as an optimisation procedure of information flows for physical and biological systems. Biosystems (Amsterdam. Print). 150. 13-21.
Status: Published -
Accardi, L., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I. (2016). Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process. Open systems & information dynamics. 23 (2).
Status: Published -
Asano, M., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I. (2016). Three-body system metaphor for the two-slit experiment and Escherichia coli lactose-glucose metabolism. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 374 (2068).
Status: Published -
Yurova Axelsson, E., Khrennikov, A. (2016). Generalization of Hensel's lemma : Finding the roots of p-adic Lipschitz functions. Journal of Number Theory. 158. 217-233.
Status: Published -
Khrennikov, A. (2016). Randomness : Quantum versus classical. International Journal of Quantum Information. 14 (4).
Status: Published -
Khrennikov, A., Oleshko, K., De Jesús Correa López, M. (2016). Application of p-Adic Wavelets to Model Reaction–Diffusion Dynamics in Random Porous Media. Journal of Fourier Analysis and Applications. 22 (4). 809-822.
Status: Published -
Khrennikov, A. (2016). 'Social Laser' : action amplification by stimulated emission of social energy. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 374 (2058).
Status: Published -
Khrennikov, A. (2016). Reflections on Zeilinger-Brukner Information Interpretation of Quantum Mechanics. Foundations of physics. 46 (7). 836-844.
Status: Published -
Khrennikov, A. (2016). Bell Could Become the Copernicus of Probability. Open systems & information dynamics. 23 (2).
Status: Published -
Khrennikov, A., Oleschko, K., Correa Lopez, M.D.J. (2016). Modeling Fluid's Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks. Entropy. 18 (7).
Status: Published -
Khrennikov, A. (2015). CHSH Inequality : Quantum Probabilities as Classical Conditional Probabilities. Foundations of physics. 45 (7). 711-725.
Status: Published -
Khrennikov, A., Bazhanov, A. (2015). Prequantum Classical Statistical Field Theory : Simulation of Probabilities of Photon Detection from Brownian Motion Interacting with Threshold Detectors. Journal of Russian Laser Research. 36 (3). 237-250.
Status: Published -
Khrennikov, A. (2015). Unconditional Quantum Correlations do not Violate Bell's Inequality. Foundations of physics. 45 (10). 1179-1189.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., et al. (2015). Quantum Information Biology : From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology. Foundations of physics. 45 (10). 1362-1378.
Status: Published -
Khrennikov, A. (2015). Foundations of analysis on superspace — 1 : Differential calculus. P-Adic Numbers, Ultrametric Analysis, and Applications. 7 (2). 96-110.
Status: Published -
Titova, P., Khrennikov, A. (2015). Modeling Tests Based on the Eberhard Inequality. Journal of Russian Laser Research. 36 (1). 2-16.
Status: Published -
Khrennikov, A. (2015). Quantum version of Aumann's approach to common knowledge : Sufficient conditions of impossibility to agree on disagree. Journal of Mathematical Economics. 60. 89-104.
Status: Published -
Plotnitsky, A., Khrennikov, A. (2015). Reality Without Realism : On the Ontological and Epistemological Architecture of Quantum Mechanics. Foundations of physics. 45 (10). 1269-1300.
Status: Published -
Khrennikov, A. (2015). Two-slit experiment : quantum and classical probabilities. Physica Scripta. 90 (7).
Status: Published -
Tressoldi, P.E., Maier, M.A., Buechner, V.L., Khrennikov, A. (2015). A macroscopic violation of no-signaling in time inequalities? : How to test temporal entanglement with behavioral observables. Frontiers in Psychology. 6.
Status: Published -
Khrennikov, A. (2015). Quantum-like modeling of cognition. Frontiers in Physics. 3.
Status: Published -
Khrennikov, A., Kozyrev, S., Månsson, A. (2015). Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift. Infinite Dimensional Analysis Quantum Probability and Related Topics. 18 (2).
Status: Published -
Basieva, I., Khrennikov, A. (2015). On the Possibility to Combine the Order Effect with Sequential Reproducibility for Quantum Measurements. Foundations of physics. 45 (10). 1379-1393.
Status: Published -
Iurato, G., Khrennikov, A. (2015). Hysteresis model of unconscious-conscious interconnection : Exploring dynamics on m-adic trees. P-Adic Numbers, Ultrametric Analysis, and Applications. 7 (4). 312-321.
Status: Published -
Khrennikov, A. (2015). Quantum-like model of unconscious-conscious dynamics. Frontiers in Psychology. 6.
Status: Published -
Khrennikov, A., Kotovich, N. (2015). Towards ultrametric modeling of unconscious creativity. International Journal of Cognitive Informatics and Natural Intelligence. 8 (4). 98-109.
Status: Published -
Khrennikov, A. (2015). Towards Information Lasers. Entropy. 17 (10). 6969-6994.
Status: Published -
Khrennikova, P., Haven, E., Khrennikov, A. (2014). An Application of the Theory of Open Quantum Systems to Model the Dynamics of Party Governance in the US Political System. International journal of theoretical physics. 53 (4). 1346-1360.
Status: Published -
Anashin, V., Khrennikov, A., Yurova, E. (2014). Ergodicity criteria for non-expanding transformations of 2-adic spheres. Discrete and Continuous Dynamical Systems. 34 (2). 367-377.
Status: Published -
Busemeyer, J.R., Wang, Z., Khrennikov, A., Basieva, I. (2014). Applying quantum principles to psychology. Physica Scripta. T163.
Status: Published -
Khrennikov, A., Basieva, I. (2014). Possibility to agree on disagree from quantum information and decision making. Journal of mathematical psychology (Print). 62-63. 1-15.
Status: Published -
Khrennikov, A. (2014). Towards a wave resolution of the wave-particle duality. International Journal of Modern Physics A. 29 (31). 1450185.
Status: Published -
Khrennikov, A., Basieva, I. (2014). Quantum Model for Psychological Measurements : From the Projection Postulate to Interference of Mental Observables Represented As Positive Operator Valued Measures. NeuroQuantology. 12 (3). 324-336.
Status: Published -
Khrennikov, A., Basieva, I. (2014). Quantum-state dynamics as linear representation of classical (nonlinear) stochastic dynamics. Journal of Russian Laser Research. 35 (1). 71-78.
Status: Published -
Khrennikov, A., Basieva, I., Dzhafarov, E.N., Busemeyer, J.R. (2014). Quantum Models for Psychological Measurements : An Unsolved Problem. PLOS ONE. 9 (10).
Status: Published -
Khrennikov, A. (2014). Cognitive processes of the brain : An ultrametric model of information dynamics in unconsciousness. P-Adic Numbers, Ultrametric Analysis, and Applications. 6 (4). 293-302.
Status: Published -
Klein, M., Khrennikov, A. (2014). Recursion over Partitions. P-Adic Numbers, Ultrametric Analysis, and Applications. 6 (4). 303-309.
Status: Published -
Khrennikov, A. (2014). Emerging quantum mechanics : Coefficient of second-order coherence from classical random fields interacting with threshold type detectors. International Journal of Quantum Information. 12 (07n08).
Status: Published -
Khrennikov, A. (2014). Born's formula from statistical mechanics of classical fields and theory of hitting times. Physica A : Statistical Mechanics and its Applications. 393. 207-221.
Status: Published -
Khrennikov, A., Yurova, E. (2014). Criteria of ergodicity for p-adic dynamical systems in terms of coordinate functions. Chaos, Solitons & Fractals. 60. 11-30.
Status: Published -
Nilsson, B., Nordebo, S., Khrennikov, A. (2014). Estimation of initial one photon temporal modes in waveguides using the asymptotic radiation zone. Physica Scripta. T163.
Status: Published -
Kozyrev, S.V., Khrennikov, A., Shelkovich, V.M. (2014). p-Adic wavelets and their applications. Proceedings of the Steklov Institute of Mathematics. 285 (1). 157-196.
Status: Published -
Khrennikov, A., Nilsson, B., Nordebo, S., Volovich, I. (2014). Photon Flux and Distance from the Source : Consequences for Quantum Communication. Foundations of physics. 44 (4). 389-405.
Status: Published -
Khrennikov, A., Schumann, A. (2014). Quantum non-objectivity from performativity of quantum phenomena. Physica Scripta. T163.
Status: Published -
Anashin, V., Khrennikov, A., Yurova, E. (2014). T-functions revisited : new criteria for bijectivity/transitivity. Designs, Codes and Cryptography. 71 (3). 383-407.
Status: Published -
Asano, M., Hashimoto, T., Khrennikov, A., Ohya, M., Tanaka, Y. (2014). Violation of contextual generalization of the Leggett-Garg inequality for recognition of ambiguous figures. Physica Scripta. T163.
Status: Published -
Basieva, I., Khrennikov, A. (2014). Complementarity of Mental Observables. Topics in Cognitive Science. 6 (1). 74-78.
Status: Published -
Khrennikov, A., Ramelow, S., Ursin, R., Wittmann, B., Kofler, J., et al. (2014). On the equivalence of the Clauser-Horne and Eberhard inequality based tests. Physica Scripta. T163.
Status: Published -
Khrennikov, A. (2013). Measurement problem : from De Broglie to theory of classical random fields interacting with threshold detectors. Journal of Physics, Conference Series. 442. Article ID: 012011.
Status: Published -
Khrennikov, A., Nilsson, B., Nordebo, S. (2013). Quantum rule for detection probability from Brownian motion in the space of classical fields. Theoretical and mathematical physics. 174 (2). 298-306.
Status: Published -
Khrennikov, A. (2013). The Schrödinger-Robinson inequality from stochastic analysis on a complex Hilbert space. Physica Scripta. 87 (3).
Status: Published -
Khrennikov, A., Kozyrev, S.V., Oleschko, K., Jaramillo, A.G., De Jesus Correa Lopez, M. (2013). Application of p-adic analysis to time series. Infinite Dimensional Analysis Quantum Probability and Related Topics. 16 (4). 1350030.
Status: Published -
Conte, E., Todarello, O., Federici, A., Santacroce, N., Laterza, V., et al. (2013). May we verify non-existing dispersion free ensembles by application of quantum mechanics in experiments at perceptive and cognitive level?. NeuroQuantology. 10 (1). 14-19.
Status: Published -
Khrennikov, A., Haven, E. (2013). Our quantum society. New scientist (1971). 219 (2924). 26-27.
Status: Published -
Haven, E., Khrennikov, A. (2013). Quantum-Like Tunnelling and Levels of Arbitrage. International journal of theoretical physics. 52 (11). 4083-4099.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., et al. (2013). A model of epigenetic evolution based on theory of open quantum systems. Systems and Synthetic Biology. 7 (4). 161-173.
Status: Published -
Khrennikov, A., Shelkovich, V., Van Der Walt, J.H. (2013). Measure-free viewpoint on p-adic and adelic wavelets. P-Adic Numbers, Ultrametric Analysis, and Applications. 5 (3). 204-217.
Status: Published -
Khrennikov, A., Shelkovich, V.M., Van Der Walt, J.H. (2013). Adelic Multiresolution Analysis, Construction of Wavelet Bases and Pseudo-Differential Operators. Journal of Fourier Analysis and Applications. 19 (6). 1323-1358.
Status: Published -
Khrennikov, A., Yurova, E. (2013). Criteria of measure-preserving for p-adic dynamical systems in terms of the van der Put basis. Journal of Number Theory. 133 (2). 484-491.
Status: Published -
Khrennikov, A. (2013). Prequantum classical statistical field theory : derivation of gaussianity of probability distributions. Quantum Probability Series QP-PQ. 29. 200-208.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Yamato, I. (2013). Non-Kolmogorovian approach to the context-dependent systems breaking the classical probability law.. Foundations of physics. 43 (7). 895-911.
Status: Published -
Khrennikov, A. (2012). Born's Rule from Measurements of Classical Random Signals under the Assumption of Ergodicity at the Subquantum Time Scale. Open systems & information dynamics. 19 (3). Article ID: 1250019.
Status: Published -
Khrennikov, A., Rosinger, E.E., Van Zyl, A. (2012). Graded Tensor Products and Entanglement. AIP Conference Proceedings. 1424. 189-194.
Status: Published -
Khrennikov, A., Weihs, G. (2012). Preface of the Special Issue Quantum Foundations : Theory and Experiment. Foundations of physics. 42 (6). 721-724.
Status: Published -
Tressoldi, P.E., Khrennikov, A. (2012). Remote State Preparation of Mental Information : A Theoretical Model and a Summary of Experimental Evidence. NeuroQuantology. 10 (3). 394-402.
Status: Published -
Khrennikov, A., Kosyak, A.V., Shelkovich, V.M. (2012). Wavelet Analysis on Adeles and Pseudo-Differential Operators. Journal of Fourier Analysis and Applications. 18 (6). 1215-1264.
Status: Published -
Kosyak, A.V., Khrennikov, A., Shelkovich, V.M. (2012). Wavelet bases on adele rings. Doklady. Mathematics. 85 (1). 75-79.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. (2012). Quantum-like Dynamics of Decision-making in Prisoner's Dilemma Game. AIP Conference Proceedings. 1424. 453-457.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., et al. (2012). Quantum-like model of diauxie in Escherichia coli : operational description of precultivation effect. Journal of Theoretical Biology. 314. 130-137.
Status: Published -
Khrennikov, A., Nilsson, B., Nordebo, S. (2012). Classical signal model reproducing quantum probabilities for single and coincidence detections. Journal of Physics, Conference Series. 361.
Status: Published -
Khrennikov, A. (2012). New experimental tests of the photon's indivisibility. Journal of Russian Laser Research. 33 (3). 247-254.
Status: Published -
Khrennikov, A., Nilsson, B., Nordebo, S. (2012). Quantization of propagating modes in optical fibres. Physica Scripta. 85.
Status: Published -
Khrennikov, A. (2012). Quantum correlations as correlations of classical Gaussian signals : "entanglement'' at the subquantum level. Reports on mathematical physics. 69 (2). 213-228.
Status: Published -
Khrennikov, A. (2012). Towards a Resolution of Dilemma : Nonlocality or Nonobjectivity?. International journal of theoretical physics. 51 (8). 2488-2502.
Status: Published -
Khrennikov, A. (2012). Bell Argument : Locality or Realism? Time to Make the Choice. AIP Conference Proceedings. 1424. 160-175.
Status: Published -
Khrennikov, A., Rosinger, E.E. (2012). Extended Tensor Products and Generalization of the Notion of Entanglement. AIP Conference Proceedings. 1424. 176-188.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. (2012). Quantum-like dynamics of decision-making. Physica A : Statistical Mechanics and its Applications. 391 (5). 2083-2099.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., et al. (2012). Quantum-like model of glucose effect on Escherichia coli growth. AIP Conference Proceedings. 1424. 507-512.
Status: Published -
Nordebo, S., Gustafsson, M., Khrennikov, A., Nilsson, B., Toft, J. (2012). Fisher information for inverse problems and trace class operators. Journal of Mathematical Physics. 53 (12).
Status: Published -
Kosyak, A.V., Khrennikov, A., Shelkovich, V.M. (2012). Pseudodifferential operators on adele rings and wavelet bases. Doklady. Mathematics. 85 (3). 358-362.
Status: Published -
Khrennikov, A. (2012). Quantum probabilities from a mathematical model of threshold detection of classical random waves.. Journal of Physics A : Mathematical and Theoretical. 45 (21). Article ID: 215301.
Status: Published -
Khrennikov, A. (2012). Role of detectors and their proper calibration in inter-relation between classical and quantum optics. Optical Engineering : The Journal of SPIE. 51 (6). Article ID: 069001.
Status: Published -
Khrennikov, A., Nilsson, B., Nordebo, S. (2012). On an experimental test of prequantum theory of classical random fields : an estimate from above of the coefficient of second-order coherence. International Journal of Quantum Information. 10 (8). Article ID: 1241014.
Status: Published -
Khrennikov, A. (2012). Born's rule from measurements of classical signals by threshold detectors which are properly calibrated. Journal of Modern Optics. 59 (7). 667-678.
Status: Published -
Khrennikov, A., Nilsson, B., Nordebo, S., Volovich, I.V. (2012). Distance Dependence of Entangled Photons in Waveguides. AIP Conference Proceedings. 1424. 262-269.
Status: Published -
Anashin, V.S., Khrennikov, A., Yurova, E. (2012). Ergodicity of dynamical systems on 2-adic spheres. Doklady. Mathematics. 86 (3). 843-845.
Status: Published -
Khrennikov, A. (2012). Towards a Field Model of Prequantum Reality. Foundations of physics. 42 (6). 725-741.
Status: Published -
Khrennikov, A. (2012). Violation of Bell's inequality by correlations of classical random signals. Physica Scripta. T151. Article ID: 014003.
Status: Published -
Adenier, G., Ohya, M., Watanabe, N., Basieva, I., Khrennikov, A. (2012). Double Blinding-Attack on Entanglement-Based Quantum Key Distribution Protocols. AIP Conference Proceedings. 1424 (1). 9-16.
Status: Published -
Toft, J., Khrennikov, A., Nilsson, B., Nordebo, S. (2012). Decompositions of Gelfand-Shilov kernels into kernels of similar class. Journal of Mathematical Analysis and Applications. 396 (1). 315-322.
Status: Published -
Khrennikov, A. (2012). Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type detection scheme. Progress of theoretical physics. 128 (1). 31-58.
Status: Published -
Khrennikov, A. (2012). Towards new Grangier type experiments. Annals of Physics. 327 (7). 1786-1802.
Status: Published -
Khrennikov, A. (2012). View of bunching and antibunching from the standpoint of classical signals. Theoretical and mathematical physics. 172 (1). 1017-1034.
Status: Published -
Rosinger, E., Khrennikov, A. (2011). Beyond Archimedean Space-Time Structure. AIP Conference Proceedings. 1327. 520-526.
Status: Published -
Khrennikov, A., Kozyrev, S.V. (2011). Genetic code and deformation of the 2-dimensional 2-adic metric. P-Adic Numbers, Ultrametric Analysis, and Applications. 3 (2). 165-168.
Status: Published -
Basieva, I., Khrennikov, A., Asano, M., Ohya, M., Tanaka, Y. (2011). Dynamics of Entropy in Quantum-like Model of Decision Making.. AIP Conference Proceedings. 1327. 63-70.
Status: Published -
Khrennikov, A. (2011). Prequantum Classical Statistical Field Theory: Schrödinger Dynamics of Entangled Systems as a Classical Stochastic Process. Foundations of physics. 41 (3). 317-329.
Status: Published -
Khrennikov, A. (2011). Quantum-like model of processing of information in the brain based on classical electromagnetic field.. Biosystems (Amsterdam. Print). 105 (3). 250-262.
Status: Published -
Kozyrev, S.V., Khrennikov, A. (2011). Replica procedure for probabilistic algorithms as a model of gene duplication. Doklady. Mathematics. 84 (2). 726-729.
Status: Published -
Khrennikov, A., Van Der Walt, J.H. (2011). On topological extensions of Archimedean and non-Archimedean rings. P-Adic Numbers, Ultrametric Analysis, and Applications. 3 (4). 326-333.
Status: Published -
Basieva, I., Khrennikov, A., Ohya, M., Yamato, I. (2011). Quantum-like interference effect in gene expression : glucose-lactose destructive interference. Systems and Synthetic Biology. 5 (1). 56-64.
Status: Published -
Khrennikov, A. (2011). A classical field theory comeback? : The classical field viewpoint on triparticle entanglement. Physica scripta. T. (T143).
Status: Published -
Kozyrev, S.V., Khrennikov, A. (2011). p-Adic integral operators in wavelet bases. Doklady. Mathematics. 83 (2). 209-212.
Status: Published -
Asano, M., Ohya, M., Khrennikov, A. (2011). Quantum-Like Model for Decision Making Process inTwo Players Game : A Non-Kolmogorovian Model. Foundations of physics. 41 (3). 538-548.
Status: Published -
Khrennikov, A. (2011). Violation of Bell's Inequality and Postulate on Simultaneous Measurement of Compatible Observables. Journal of Computational and Theoretical Nanoscience. 8 (6). 1006-1010.
Status: Published -
Khrennikov, A., Maximov, V.M. (2011). About some probabilistic algebraic model of interaction between particles. AIP Conference Proceedings. 1327. 416-422.
Status: Published -
Khrennikov, A. (2011). Prequantum classical statistical field theory : background field as a source of everything?. Journal of Physics, Conference Series. 306 (1).
Status: Published -
Anashin, V.S., Khrennikov, A., Yurova, E. (2011). Characterization of ergodicity of p-adic dynamical systems by using the van der Put basis.. Doklady. Mathematics. 83 (3). 306-308.
Status: Published -
Asano, M., Ohya, M., Tanaka, Y., Khrennikov, A., Basieva, I. (2011). On application of Gorini-Kossakowski-Sudarshan-Lindblad equation in cognitive psychology.. Open systems & information dynamics. 18 (1). 55-69.
Status: Published -
Khrennikov, A., Masanori, O., Watanbe, N. (2011). Quantum probability from classical signal theory.. International Journal of Quantum Information. 9 (sup. 1). 281-292.
Status: Published -
Asano, M., Masanori, O., Tanaka, Y., Basieva, I., Khrennikov, A. (2011). Quantum-like model of brain's functioning: Decision making from decoherence. Journal of Theoretical Biology. 281 (1). 56-64.
Status: Published -
Khrennikov, A. (2011). Subquantum nonlocal correlations induced by the background random field.. Physica Scripta. 84 (4).
Status: Published -
Albeverioa, S., Khrennikov, A., Shelkovichg,, V. (2011). The Cauchy problems for evolutionary pseudo-differential equations over p-adic field and the wavelet theory. Journal of Mathematical Analysis and Applications. 375 (1). 82-98.
Status: Published -
Khrennikov, A., Kozyrev, S.V. (2010). 2-adic degeneration of the genetic code and energy of binding of codons.. QP - PQ: Quantum Probability and White Noise Analysis. 26. 193-203.
Status: Published -
Khrennikov, A. (2010). Correlations of components of prequantum field corresponding to biparticle quantum system. Europhysics letters. 90 (4). Article ID: 40004.
Status: Published -
Khrennikov, A. (2010). Description of composite quantum systems by means of classical random fields. Foundations of physics. 40 (8). 1051-1064.
Status: Published -
Khrennikov, A., Shelkovich, V. (2010). Non-Haar p-adic wavelets and their application to pseudo-differential operators and equations. Applied and Computational Harmonic Analysis. 28 (1). 1-23.
Status: Published -
Khrennikov, A. (2010). Quantum Correlations and Dynamics from Classical Random Fields Valued in Complex Hilbert Spaces. Journal of Mathematical Physics. 51 (8).
Status: Published -
Khrennikov, A. (2010). Representation of probabilistic data by quantum-like hyperbolic amplitudes. Advances in Applied Clifford Algebras. 20 (1). 43-56.
Status: Published -
Khrennikov, A. (2010). Subquantum detection theory—SDT. Physica. E, Low-Dimensional systems and nanostructures. 42 (3). 287-292.
Status: Published -
Khrennikov, A. (2010). Dialog on Beyond Quantum. AIP Conference Proceedings. 1232. 355-359.
Status: Published -
Khrennikov, A. (2010). An analogue of the Heisenberg uncertainty relation in prequantum classical field theory. Physica Scripta. 81 (6). Article ID: 065001.
Status: Published -
Khrennikov, A., Ohya, M., Watanabe, N. (2010). Classical signal model for quantum channels. Journal of Russian Laser Research. 31 (5). 462-468.
Status: Published -
Benois-Pineau, J., Khrennikov, A. (2010). Significance Delta Reasoning with p-Adic Neural Networks: Application to Shot Change Detection in Video.. Computer journal. 53 (4). 417-431.
Status: Published -
Kozyrev, S., Khrennikov, A. (2010). 2-Adic numbers in genetics and Rumer's symmetry. Doklady. Mathematics. 81 (1). 128-130.
Status: Published -
Khrennikov, A. (2010). Correlations of entangeled systems from fluctuations of the prequantum field : the case of an arbitrary density operator. AIP Conference Proceedings. 1232. 105-114.
Status: Published -
Khrennikov, A. (2010). On the Physical Basis of Theory of "Mental Waves". NeuroQuantology. 8 (DEC). s71-s80.
Status: Published -
Khrennikov, A. (2010). Quantum Integers. AIP Conference Proceedings. 1232. 299-305.
Status: Published -
Khrennikov, A. (2010). Quantum correlations from classical Gaussian random variables: fundamental role of vacuum noise.. Fluctuation and Noise Letters. 9 (4). 331-341.
Status: Published -
Khrennikov, A. (2010). Pairwise correlations in a three-partite quantum system from a prequantum random field. Journal of Russian Laser Research. 31 (2). 191-200.
Status: Published -
Khrennikov, A. (2010). Two-particle wave funcion as an integral operator and the random field approach quantum correlations. Theoretical and mathematical physics. 164 (3). 1156-1162.
Status: Published -
Khrennikov, A. (2010). Classical and quantum probability for biologists-introdaction.. QP - PQ: Quantum Probability and White Noise Analysis. 26. 179-192.
Status: Published -
Khrennikov, A. (2009). EPR "paradox", projection postulate, time synchronization "nonlocality". International Journal of Quantum Information. 7 (SUP 1). 71-81.
Status: Published -
Albeverio, S., Cianci, R., Khrennikov, A. (2009). Operator calculus for p-adic valued symbols and quantization. Rendicoti Del Seminario Matematico. 67 (2). 137-150.
Status: Published -
Khrennikov, A. (2009). What does probability theory tell us about Bell's inequality?. Advanced Science Letters. 2 (4). 488-497.
Status: Published -
Khrennikov, A., Nilsson, M. (2009). A number theoretical observationabout the degeneracy of the genetic code. Proceedings of the Steklov Institute of Mathematics. 265 (1). 140-142.
Status: Published -
Khrennikov, A. (2009). Bell’s inequality, Einstein, Podolsky, Rosenarguments and von Neumann’s projection postulate. Laser physics. 19 (1). 346-356.
Status: Published -
Khrennikov, A. (2009). Detection Model Based on Representation of QuantumParticles by Classical Random Fields: Born's Rule and Beyond. Foundations of physics. 39 (9). 997-1022.
Status: Published -
Conte, E., Khrennikov, A., Federici, A., Zbilut, J.P. (2009). Fractal fluctuations and quantum-like chaos in the brain by analysis of variability of brain waves: A new method based on a fractal variance function and random matrix theory: A link with El Naschie fractal Cantorian space–time and V. Weiss and H. Weiss golden ratio in brain. Chaos, Solitons & Fractals. 41 (5). 2790-2800.
Status: Published -
Khrennikov, A. (2009). Gene expression from polynomial dynamics in the2-adic information space. Chaos, Solitons & Fractals. 42 (1). 341-347.
Status: Published -
Khrennikov, A. (2009). Nonlocality as well as rejection of realism are only sufficient (but non-necessary!) conditions for violation of Bell's inequality. Information Sciences. 179 (5). 492-504.
Status: Published -
Khrennikov, A. (2009). Oleg Georgievich Smolyanov (on his 70th birthday). Russian Mathematical Surveys. 64 (1). 183-185.
Status: Published -
Khrennikov, A., Mukhamedov, F. (2009). On uniqueness of Gibbs measurefor p-adic countable state Potts model on the Cayley tree.. Nonlinear Analysis. 71 (11). 5327-5331.
Status: Published -
Khrennikov, A., Schumann, A. (2009). p-Adic physics, non-well-founded reality and unconventional computing. P-Adic Numbers, Ultrametric Analysis, and Applications. 1 (4). 297-306.
Status: Published -
Khrennikov, A., Haven, E. (2009). Quantum mechanics and violation ofthe sure-thing principle: the use of probability interference andother concepts. Journal of mathematical psychology (Print). 53 (5). 378-388.
Status: Published -
Khrennikov, A., Kozyrev, S. (2009). 2-Adic clustering of the PAM matrix. Journal of Theoretical Biology. 261 (3). 396-406.
Status: Published -
Khrennikov, A. (2009). Entanglement's dynamics from classical stochastic process. Europhysics letters. 88 (4). Article ID: 40005.
Status: Published -
Smolyanov, O.G., Khrennikov, A. (2009). Generalized Kolmogorov models for probabilistic quantum-type experiments.. Doklady. Mathematics. 80 (2). 765-768.
Status: Published -
Conte, E., Khrennikov, A., Todarello, O., Federici, A., Zbilut, J.P. (2009). On the Existence of Quantum Wave Function and Quantum Interference Effects in Mental States An Experimental Confirmation during Perception and Cognition in Humans. NeuroQuantology. 7 (2). 204-212.
Status: Published -
Khrennikov, A. (2009). Von Neumann and Luders postulates and quantuminformation theory. International Journal of Quantum Information. 7 (7). 1303-1311.
Status: Published -
Khrennikov, A., Shelkovich, V.M. (2009). An infinite family of p-adic non-Haar wavelet bases and pseudo-differential operators. P-Adic Numbers, Ultrametric Analysis, and Applications. 1 (3). 204-216.
Status: Published -
Khrennikov, A., Shelkovich, V. (2009). Asymptotical behavior of oneclass of p-adic singular Fourier integrals. Journal of Mathematical Analysis and Applications. 350 (1). 170-183.
Status: Published -
Khrennikov, A. (2009). Gene expression from 2-adic dynamical systems. Proceedings of the Steklov Institute of Mathematics. 265 (1). 131-139.
Status: Published -
Khrennikov, A. (2009). Hilbert space over complex hyperbolic numbers andhyper-trigonometric interference. Infinite Dimensional Analysis Quantum Probability and Related Topics. 12 (3). 469-478.
Status: Published -
Khrennikov, A., Shelkovich, V.M., Skopina, M. (2009). p-adic orthogonal wavelet bases. P-Adic Numbers, Ultrametric Analysis, and Applications. 1 (2). 145-156.
Status: Published -
Khrennikov, A., Shelkovich, V., Skopina, M. (2009). P-adic refinable functions and MRA-based wavelets. Journal of Approximation Theory. 161 (1). 226-238.
Status: Published -
Khrennikov, A. (2009). Quantum correlations from classical Gaussiancorrelations. Journal of Russian Laser Research. 30 (5). 472-479.
Status: Published -
Accardi, L., Khrennikov, A., Ohya, M. (2009). Quantum Markov Model for Data from Shafir-Tversky Experiments in Cognitive Psychology. Open systems & information dynamics. 16 (4). 371-385.
Status: Published -
Khrennikov, A. (2009). Quantum-like model of cognitive decision makingand information processing. Biosystems (Amsterdam. Print). 95. 179-187.
Status: Published -
Khrennikov, A. (2009). p-Adic numbers in bioinformatics. Vestnik of Samara State University, Natural Science Series. 8/1 (67).. 115-126.
Status: Published -
Conte, E., Khrennikov, A., Todarello, O., De Robertis, R., Federici, A., et al. (2008). A Preliminary Experimental Verification On the Possibility of Bell Inequality Violation in Mental States. NeuroQuantology. 6 (3). 214-221.
Status: Published -
Khrennikov, A. (2008). Algorithm for Quantum-like Representation:Transformation of Probabilistic Data into Vectors on Bloch's Sphere.. Open systems & information dynamics. 15 (3). 223-230.
Status: Published -
Khrennikov, A. (2008). Einstein-Podolsky-Rosen paradox, Bell's inequality, and the projection postulate. Journal of Russian Laser Research. 29 (2). 101-113.
Status: Published -
Ezhov, A., Khrennikov, A., Terentyeva, S. (2008). Indications of a possible symmetry and its breaking in a many-agent model obeying quantum statistics. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. 77 (3). Article ID: 031126.
Status: Published -
Khrennikov, A. (2008). Quantum averages from Gaussian random fields at the Planck length scale. Proceedings of SPIE, the International Society for Optical Engineering. 7023 (Article ID: 702309).
Status: Published -
Khrennikov, A. (2008). QUANTUM PROBABILITIES FROM DETECTION THEORY FOR CLASSICAL RANDOM FIELD. Fluctuation and Noise Letters. 8 (3-4). L393-L400.
Status: Published -
Khrennikov, A. (2008). Quantum-like microeconomics: Statistical model of distribution of investments and production. Physica A : Statistical Mechanics and its Applications. 387 (23). 5826-5843.
Status: Published -
Khrennikov, A. (2008). Symplectic geometry on an infinite-dimensional phase space and an asymptotic representation of quantum averages by Gaussian functional integrals. Izvestiya. Mathematics. 72 (1). 127-148.
Status: Published -
Khrennikov, A. (2008). The role of von Neumann and Luders postulates in the Einstein, Podolsky, and Rosen considerations: Comparing measurements with degenerate and nondegenerate spectra. Journal of Mathematical Physics. 49 (5). Article Number: 052102.
Status: Published -
Khrennikov, A. (2008). Bell-Boole inequality: Nonlocality or probabilistic incompatibility of random variables?. Entropy. 10 (2). 19-32.
Status: Published -
Khrennikov, A., Shelkovich, V. (2008). Non-Haar p-adic wavelets and pseudodifferential operators. Doklady. Mathematics. 77 (1). 42-45.
Status: Published -
Khrennikov, A. (2008). Quantum randomness as a result of random fluctuations at the Planck time scale?. International journal of theoretical physics. 47 (1). 114-124.
Status: Published -
Khrennikov, A. (2008). Quantum-like model for classical random electromagnetic field. Journal of Modern Optics. 55 (14). 2257-2267.
Status: Published -
Khrennikov, A. (2008). Hyperbolic quantization. Advances in Applied Clifford Algebras. 18 (3-4). 843-852.
Status: Published -
Khrennikov, A. (2008). Analysis of the role of von Neumann's projection postulate in the canonical scheme of quantum teleportation. Journal of Russian Laser Research. 29 (3). 296-301.
Status: Published -
Khrennikov, A. (2008). Born's rule from classical random fields. Physics Letters A. 372 (44). 6588-6592.
Status: Published -
Khrennikov, A. (2008). Can the mathematical formalism of quantum mechanics be applied to psychology?. Proceedings of SPIE, the International Society for Optical Engineering. 7023 (Article ID: 702308).
Status: Published -
Khrennikov, A. (2008). EPR-Bohm experiment and Bell's inequality: Quantum physics meets probability theory. Theoretical and mathematical physics. 157 (1). 1448-1460.
Status: Published -
Khrennikov, A. (2008). Quantum-like Cognition from Multiplicity of Time Scales in the Brain. NeuroQuantology. 6 (4). 333-347.
Status: Published -
Khrennikov, A. (2008). The quantum-like brain on the cognitive and subcognitive time scales. Journal of consciousness studies. 15 (7). 39-77.
Status: Published -
Adenier, G., Khrennikov, A. (2007). Is the fair sampling assumption supported by EPR experiments?. Journal of Physics B: At. Mol. Opt. Phys.. 40 (1). 131-141.
Status: Published -
Khrennikov, A. (2007). On p-adic Gibbs measures of the countable state Potts model on the Cayley tree.. Nonlinearity. 20 (12). 2923-2937.
Status: Published -
Khrennikov, A. (2007). Prequantum classical statistical field theory: Time scale of fluctuations.. Doklady Mathematics. 75 (3). 456-459.
Status: Published -
Khrennikov, A. (2007). Quantum mechanics as an approximation of statistical mechanics for classical fields.. Rep. Math. Phys.. 60 (3). 453-484.
Status: Published -
Khrennikov, A., Svensson, P. (2007). Attracting fixed points of polynomial dynamical systems if fields of p-adic numbers. Izvestiya. Mathematics. 71 (4). 103-114.
Status: Published -
Khrennikov, A. (2007). Compatibility and Marginality.. Int. J. Theor. Phys.. 46 (5). 1083-1095.
Status: Published -
Khrennikov, A. (2007). Distributions on adeles.. Journal of Mathematical Sciences. 142 (N 3). 2105-2112.
Status: Published -
Khrennikov, A. (2007). Genetic code on the diadic plane. Physica A : Statistical Mechanics and its Applications. 381. 265-272.
Status: Published -
Khrennikov, A. (2007). Replica symmetry breaking related to a general ultrametric space 3: The case of general measure. Physica A : Statistical Mechanics and its Applications. 378 (2). 283-298.
Status: Published -
Khrennikov, A. (2007). Can Quantum Information be Processed by Macroscopic Systems?. Quantum Information Processing. 6 (6). 401-429.
Status: Published -
Khrennikov, A. (2007). Fourier analysis over hyperbolic algebra, pseudo-differential operators, and hyperbolic deformation of classical mechanics.. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 10. 421-438.
Status: Published -
Khrennikov, A. (2007). To quantum averages through asymptotic expansion of classical averages on infinite-dimensional space.. Journal of Mathematical Physics. 48. Art. No. 013512.
Status: Published -
Khrennikov, A. (2007). Toward an adequate mathematical model of mental space: Conscious/unconscious dynamics on m-adic trees.. Biosystems. 90 (3). 656-675.
Status: Published -
Khrennikov, A. (2007). p-Adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces.. Doklady Mathematics. 76 (1). 539-543.
Status: Published -
Conte, E., Khrennikov, A., Zbilut, J.P. (2007). New possible properties of atomic nuclei indicated by non linear methods, fractal and reccurence quantifications analysis. arXiv.org. 0704.0903.
Status: Published -
Khrennikov, A. (2007). Generalized probabilities taking values in non-Archimedean fields and in topological groups.. Russian Journal of Mathematical Physics. 14 (2). 142-159.
Status: Published -
Khrennikov, A. (2007). Analysis of explicit and implicit assumptions in the theorems of J. Von Neumann and J. Bell.. Journal of Russian Laser Research. 28. 244-254.
Status: Published -
Khrennikov, A. (2007). Linear fractional p-adic and adelic dynamical systems.. Rep. Math. Phys.. 60 (1). 55-68.
Status: Published -
Khrennikov, A. (2007). Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics.. Chaos, Solitons and Fractals. 31 (5). 1076-1088.
Status: Published -
Khrennikov, A. (2007). Quantum mechanics as the quadratic Taylor approximation of classical mechanics: The finite-dimensional case.. J. Theor. Math. Phys.. 152 (2). 1111-1121.
Status: Published -
Khrennikov, A. (2007). Quantumlike representation of extensive form games: Probabilistic aspects.. Journal of Mathematical Physics. 48. 072107 (artikeln nummer).
Status: Published -
Khrennikov, A. (2006). Classical representation of quantum means and quantum dynamics. Doklady Mathematics. 73 (N 3). 445-448.
Status: Published -
Khrennikov, A., Volovich, Y. (2006). Energy Levels of “Hydrogen Atom” in Discrete Time Dynamics. Open Systems and Information Dynamics. 13 (N 2). 119-132.
Status: Published -
Khrennikov, A. (2006). Harmonic Analysis in the p-Adic Lizorkin Spaces: Fractional Operators, Pseudo-Differential Equations, p-Adic Wavelets, Tauberian Theorems.. Journal of Fourier Analysis and Applications. 12 (4). 393-425.
Status: Published -
Khrennikov, A. (2006). Nonstationary Kolmogorov probability models describing quantum measurements. Doklady. 73 (N 2). 286-291.
Status: Published -
Khrennikov, A. (2006). Representation Theorem of Observables on a Quantum System.. International Journal of Theoretical Physics. 45 (N 3). 469-482.
Status: Published -
Khrennikov, A. (2006). Associated homogeneous p-adic distributions. Journal of Mathematical Analysis and Applications. 313. 64-83.
Status: Published -
Khrennikov, A., Volovich, I. (2006). Local realistic representation for correlations in the original EPR-model for position and momentum. Soft Computing - A Fusion of Foundations, Methodologies and Applications. 10 (6). 521-529.
Status: Published -
Khrennikov, A. (2006). Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals. Physica A : Statistical Mechanics and its Applications. 359. 222-240.
Status: Published -
Khrennikov, A. (2006). Replica symmetry breaking related to a general ultrametric space II: RSB solutions and the $n\to0$ limit.. Physica A : Statistical Mechanics and its Applications. 359. 241-266.
Status: Published -
Khrennikov, A. (2006). Prequantum classical statistical field theory: Complex representation, Hamilton-Schrodinger equation, and interpretation of stationary states.. Foundation of Physics Letters. 19 (N 4). 299-319.
Status: Published -
Khrennikov, A. (2006). Nonlinear Schrödinger equations from prequantum classical statistical field theory. Physics Letters A. 357 (N 3). 171-176.
Status: Published -
Khrennikov, A. (2006). On the problem of hidden variables for quantum field theory. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL. 121. 505-521.
Status: Published -
Khrennikov, A. (2006). Localization in space for a free particle in ultrametric quantum mechanics.. Doklady Mathematics. 74 (N3). 906-909.
Status: Published -
Khrennikov, A. (2006). Quantum mechanics from time scaling and random fluctuations at the "quick time scale''. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL. 121. 1005-1021.
Status: Published -
Khrennikov, A. (2006). Quantum-like brain: ``Intereference of minds.''. BioSystems. 84. 225-241.
Status: Published -
Khrennikov, A. (2006). Ultrametric random field.. Infinite Dimensional Analysis Quantum Probability Related Topics. 9 (N2). 199.
Status: Published -
Khrennikov, A. (2006). Distributional aymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems. Asymptotic Analysis. 46(2),. 163-187.
Status: Published -
Khrennikov, A. (2006). The formula of total probability with the interference term and the representation of the Kolmogorov model in the Hilbert space. Theory of Probability and its Applications. 51 (3). 1-18.
Status: Published -
Khrennikov, A. (2006). Distributions and pseudo-differential operators on infinite-dimensional spaces and applications in quantum physics. Operator Theory: Advances and Applications. 164. 161-172.
Status: Published -
Khrennikov, A. (2006). Logical approach to p-adic probabilities. Bulletin of the Section of Logic. 35/1. 49-57.
Status: Published -
Khrennikov, A. (2006). Tauberian theorems for p-adic distributions. Integral Transforms and Special Functions. 17 (N 02-03). 141.
Status: Published -
Khrennikov, A. (2006). Quantum equilibria for macroscopic systems. Journal of Physics A: Mathematical and General. 39. 8461-8475.
Status: Published -
Khrennikov, A. (2006). Von Neumann uniqueness theorem doesn't hold in hyperbolic quantum Mechanics. International Journal of Theoretical Physics. 45 (10). 1869-1890.
Status: Published -
Khrennikov, A., Kozyrev, S. (2005). Contextual quantization and the principle of complementarity of Probabilities. Open systems & information dynamics. 12 (3). 303-318.
Status: Published -
Khrennikov, A. (2005). Hyperbolic quantum mechanics. Doklady Akademii Nauk. 402 (2). 170-172.
Status: Published -
Khrennikov, A., Smolyanov, O., Truman, A. (2005). Kolmogorov probability spaces describing Accardi models for quantum correlations. Open systems & information dynamics. 12 (4). 371-384.
Status: Published -
Albeverio, S., Khrennikov, A., Shelkovich, M. (2005). Nonlinear singular problems of $p$-adic analysis: associative algebras of $p$-adic distributions. Izvestiya. Mathematics. 69 (2). 221-263.
Status: Published -
Albeverio, S., Khrennikov, A., Shelkovich, V. (2005). p-adic Colombeau-Egorov type theory of generalized functions. Mathematische Nachrichten. 278 (1-2). 3-16.
Status: Published -
Khrennikov, A. (2005). Representation of the contextual statistical model by hyperbolic amplitudes. Journal of Mathematical Physics. 46 (6).
Status: Published -
Khrennikov, A. (2005). The principle of supplementarity: A contextual probabilistic viewpoint to complementarity, the interference of probabilities, and the incompatibility of variables in quantum mechanics. Foundations of physics. 35 (10). 1655-1693.
Status: Published -
Khrennikov, A., Kozyrev, V. (2005). Wavelets on ultrametric spaces. Applied and Computational Harmonic Analysis. 19 (1). 61-67.
Status: Published -
Khrennikov, A. (2005). Interference in the classical probabilistic framework.. Fuzzy sets and systems (Print). 155. 4-17.
Status: Published -
Kozyrev, S., Khrennikov, A. (2005). Pseudodifferential operators on ultrametric space and ultrametric wavelets. Izvestiya. Mathematics. 69. 989-1003.
Status: Published -
Khrennikov, A. (2005). Schrödinger dynamics as the Hilbert space projection of a realistic contextual probabilistic dynamics.. Europhysics letters. 69 (5). 678-684.
Status: Published -
Khrennikov, A. (2005). On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schrödinger dynamics. Il Nuovo Cimento. 120 (4). 353-366.
Status: Published -
Khrennikov, A. (2005). Interference in the classical probabilistic model and its representation in complex Hilbert space. Physica E. 29 (1-2). 226-236.
Status: Published -
Khrennikov, A. (2005). A pre-quantum classical statistical model with infinite-dimensional phase space. Journal of Physics A : Mathematical and General. 38 (9051).
Status: Published -
Ezhov, A., Khrennikov, A. (2005). Agents with left and right dominant hemispheres and quantum statistics. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 71 (1). 016138-1-016138-8.
Status: Published -
Allahverdyan, A., Khrennikov, A., Nieuwenhuizen, T.M. (2005). Brownian entanglement. Physical Review A. Atomic, Molecular, and Optical Physics. 72. 032102.
Status: Published -
Khrennikov, A. (2005). Linear and nonlinear analogues of the Schrödinger equation in the contextual approach to quantum mechanics. Doklady. Mathematics. 72 (2). 791-794.
Status: Published -
Khrennikov, A., Kozyrev, S.V. (2005). p-adic pseudodifferential operators and analytic continuation of replica matrices. Theoretical and mathematical physics. 144 (2). 1166-1170.
Status: Published -
Khrennikov, A., Smolyanov, O. (2005). Probabilistic measurement models with noncommuting and commuting observables. Doklady Akademii Nauk. 6. 748-753.
Status: Published -
Albeverio, S., Gundlach, M., Khrennikov, A., Lindahl, K. (2001). On the Markovian Behavior of p-Adic Random Dynamical Systems. Russ. J. Math. Phys.. 8 (2). 135-152.
Status: Published -
Lindahl, K., Gundlach, M., Khrennikov, A. (2001). On Ergodic Behavior of p-adic dynamical systems. Infin. Dimens. Anal. Quantum Probab. Relat. Top.. 4 (4). 569-577.
Status: Published
Article in journal (Other academic)
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Dragovich, B., Khrennikov, A., Kozyrev, S.V., Volovich, I.V. (2023). On the Occasion of the Centenary of the Birth of V. S. Vladimirov (1923-2012). P-Adic Numbers, Ultrametric Analysis, and Applications. 15 (3). 243-244.
Status: Published -
Dragovich, B., Khrennikov, A., Kozyrev, S.,.V., Volovich, I.V. (2022). Giorgio Parisi : The Nobel Prize in Physics 2021. P-Adic Numbers, Ultrametric Analysis, and Applications. 14 (1). 81-83.
Status: Published -
Atmanspacher, H., Basieva, I., Busemeyer, J.R., Khrennikov, A., Pothos, E.M., et al. (2020). What are the appropriate axioms of rationality for reasoning under uncertainty with resource-constrained systems?. Behavioral and Brain Sciences. 43.
Status: Published -
Khrennikov, A. (2019). Classical versus quantum probability : Comments on the paper "On universality of classical probability with contextually labeled random variables" by E. Dzhafarov and M. Kon. Journal of mathematical psychology (Print). 89. 87-92.
Status: Published -
Haven, E., Khrennikov, A., Ma, C., Sozzo, S. (2018). Introduction to quantum probability theory and its economic applications. Journal of Mathematical Economics. 78. 127-130.
Status: Published -
Khrennikov, A., Stacey, B.C. (2017). Aims and Scope of the Special Issue, "Quantum Foundations : Informational Perspective". Foundations of physics. 47 (8). 1003-1008.
Status: Published -
Jaeger, G., Khrennikov, A., Perinotti, P. (2017). Preface for the special issue, 'Second quantum revolution : foundational questions'. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 375 (2106).
Status: Published -
Hess, K., De Raedt, H., Khrennikov, A. (2017). Special Issue : Ever New "Loopholes" in Bell's Argument and Experimental Tests. Open Physics. 15 (1). 572-576.
Status: Published -
Baladron, C., Khrennikov, A., Yamato, I. (2017). Editorial. Progress in Biophysics and Molecular Biology. 130. 1-1.
Status: Published -
Haven, E., Khrennikov, A. (2017). Editorial: Applications of Quantum Mechanical Techniques to Areas Outside of Quantum Mechanics. Frontiers in Physics. 5.
Status: Published -
Coecke, B., Khrennikov, A. (2016). Preface of the special issue on quantum theory : From foundations to technologies. International Journal of Quantum Information. 14 (4).
Status: Published -
D'ariano, G.M., Khrennikov, A. (2016). Preface of the special issue quantum foundations : information approach. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 374 (2068).
Status: Published -
Haven, E., Khrennikov, A. (2016). Quantum probability and the mathematical modelling of decision-making. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 374 (2058).
Status: Published -
Khrennikov, A., De Raedt, H., Plotnitsky, A., Polyakov, S. (2015). Preface of the Special Issue Probing the Limits of Quantum Mechanics : Theory and Experiment, Volume 1. Foundations of physics. 45 (7). 707-710.
Status: Published -
D'ariano, G.M., Jaeger, G., Khrennikov, A., Plotnitsky, A. (2014). Preface. Physica Scripta. T163.
Status: Published -
Khrennikov, A., Haven, E. (2013). Physics goes social : how behaviour obeys quantum logic. New scientist (1971). 219 (2924). 26-27.
Status: Published -
Dragovich, B., Khrennikov, A., Kozyrev, S.V., Volovich, I.V. (2013). Vasiliy Sergeevich Vladimirov (09.01.1923 – 03.11.2012). P-Adic Numbers, Ultrametric Analysis, and Applications. 5 (1). 83-86.
Status: Published -
Bengtsson, I., Khrennikov, A. (2011). Preface. Foundations of physics. 41 (3). 281-281.
Status: Published -
Durand, F., Fan, A., Khrennikov, A., Lin, D., Vivaldi, F., et al. (2011). Vladimir Sergeevich Anashin. P-Adic Numbers, Ultrametric Analysis, and Applications. 3 (4). 359-362.
Status: Published -
Khrennikov, A., Nanasiova, O., Pap, E. (2005). Measures and Conditioning. Fuzzy sets and systems (Print). 155. 1-3.
Status: Published
Article, review/survey (Refereed)
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Khrennikov, A. (2023). Coherent decision making stimulated within the social laser : open quantum systems framework. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. Royal Society. 381 (2252).
Status: Published -
Khrennikov, A. (2022). Contextuality, Complementarity, Signaling, and Bell Tests. Entropy. MDPI. 24 (10).
Status: Published -
Baladron, C., Khrennikov, A. (2019). Bell inequality violation in the framework of a Darwinian approach to quantum mechanics. The European Physical Journal Special Topics. Springer. 227 (15-16). 2119-2132.
Status: Published -
Khrennikov, A., Toffano, Z., Dubois, F. (2019). Concept of information laser : from quantum theory to behavioural dynamics. The European Physical Journal Special Topics. Springer. 227 (15-16). 2133-2153.
Status: Published -
Khrennikov, A., Alodjants, A. (2019). Classical (Local and Contextual) Probability Model for Bohm-Bell Type Experiments : No-Signaling as Independence of Random Variables. Entropy. MDPI. 21 (2). 1-20.
Status: Published -
Melkikh, A.V., Khrennikov, A. (2018). Mechanisms of directed evolution of morphological structures and the problems of morphogenesis. Biosystems (Amsterdam. Print). Elsevier. 168. 26-44.
Status: Published -
Asano, M., Basieva, I., Khrennikov, A., Yamato, I. (2017). A model of differentiation in quantum bioinformatics. Progress in Biophysics and Molecular Biology. Elsevier. 130. 88-98.
Status: Published -
Yamato, I., Murata, T., Khrennikov, A. (2017). Energy and information flows in biological systems : Bioenergy transduction of V-1-ATPase rotary motor and dynamics of thermodynamic entropy in information flows. Progress in Biophysics and Molecular Biology. Elsevier. 130. 33-38.
Status: Published -
Baladron, C., Khrennikov, A. (2017). Outline of a unified Darwinian evolutionary theory for physical and biological systems. Progress in Biophysics and Molecular Biology. Elsevier. 130. 80-87.
Status: Published -
Melkikh, A.V., Khrennikov, A. (2017). Molecular recognition of the environment and mechanisms of the origin of species in quantum-like modeling of evolution. Progress in Biophysics and Molecular Biology. Elsevier. 130. 61-79.
Status: Published -
Melkikh, A.V., Khrennikov, A. (2015). Nontrivial quantum and quantum-like effects in biosystems : Unsolved questions and paradoxes. Progress in Biophysics and Molecular Biology. 119 (2). 137-161.
Status: Published -
Khrennikov, A. (2013). "Einstein's Dream"-Quantum Mechanics as Theory of Classical Random Fields. Reviews in Theoretical Science. American Scientific Publishers. 1 (1). 34-57.
Status: Published -
Khrennikov, A. (2010). Modelling of psychological behavior on the basis of ultrametric mental space: Encoding of categories by balls. P-Adic Numbers, Ultrametric Analysis, and Applications. 2 (1). 1-20.
Status: Published -
Dragovich, B., Khrennikov, A., Kozyrev, S.V., Volovich, I.V. (2009). On p-adic mathematical physics. P-Adic Numbers, Ultrametric Analysis, and Applications. Berlin, Springer. 1 (1). 1-17.
Status: Published -
Albeverio, S., Cianci, R., Khrennikov, A. (2009). p-Adic valued quantization. P-Adic Numbers, Ultrametric Analysis, and Applications. Berlin, Springer. 1 (2). 91-104.
Status: Published
Book (Refereed)
- Khrennikov, A. (2023). Open Quantum Systems in Biology, Cognitive and Social Sciences. Springer.
- Khrennikov, A. (2020). Social Laser : Application of quantum information and field theories to modeling of soical processes. Singapore, Jenny Stanford Publishing.
- Khrennikov, A., Kozyrev, S.V., Zuniga-Galindo, W.A. (2018). Ultrametric Pseudodifferential Equations and Applications. Cambridge, Cambridge University Press.
- Haven, E., Khrennikov, A., Robinson, T. (2017). Quantum Methods in Social Science : A First Course. World Scientific.
- Khrennikov, A. (2016). Probability and Randomness : Quantum versus Classical. London, Imperial College Press.
- Asano, M., Khrennikov, A., Ohya, M., Tanaka, Y., Yamato, I. (2015). Quantum adaptivity in biology : From genetics to cognition. Springer.
- Khrennikov, A. (2014). Beyond Quantum. Pan Stanford Publishing.
- Khrennikov, A., Haven, E. (2013). Quantum Social Science. Cambridge University Press.
- Khrennikov, A. (2010). Ubiquitous quantum structure: from psychology to finances. Berlin-Heidelberg-New York, Springer.
- Albeverio, S., Khrennikov, A., Shelkovich, V. (2010). Theory of p-adic distributions: linear and nonlinear models. Cambridge, Cambridge University Press.
- Khrennikov, A. (2009). Contextual approach to quantum formalism. Berlin, Springer.
- Khrennikov, A. (2009). Interpretations of Probability.. Berlin, Walter de Gruyter.
- Anashin, V., Khrennikov, A. (2009). Applied algebraic dynamics. Berlin, Walter de Gruyter.
- Khrennikov, A. (2008). Introduction to quantum information theory. Moscow, Fizmatlit, Nauka.
Book (Other academic)
- Khrennikov, A. (2020). Social Laser : Wapen of masdestruction of 21st century. Moscow, Rideiro.
Chapter in book (Refereed)
- Khrennikov, A. (2023). Cooperative Functioning of Unconscious and Consciousness from Theory of Open Quantum Systems. Quantum Decision Theory and Complexity Modelling in Economics and Public Policy. Springer. 11-23.
- Khrennikov, A. (2023). Review on Social Laser Theory and Its Applications. Trends and Challenges in Cognitive Modeling : An Interdisciplinary Approach Towards Thinking, Memory, and Decision-Making Simulations. Springer. 53-72.
- Khrennikov, A., Haven, E. (2023). A Brief Overview of the Quantum-Like Formalism in Social Science. Quantum Decision Theory and Complexity Modelling in Economics and Public Policy. Springer. 3-9.
- Khrennikov, A. (2022). Quantum-like cognition and rationality : Biological and artificial intelligence systems. Quantum Computing in the Arts and Humanities. Springer. 153-178.
- Khrennikov, A. (2022). Contextual Probability in Quantum Physics, Cognition, Psychology, Social Science, and Artificial Intelligence. From Electrons to Elephants and Elections : Exploring the Role of Content and Context. Springer. 523-536.
- Khrennikov, A. (2020). Has CHSH-inequality any relation to EPR-argument?. Quantum Bio-Informatics VI : From Quantum Information to Bio-Informatics Proceedings of Quantum Bio-Informatics 2014. Singapore, World Scientific. 87-92.
- Khrennikov, A. (2019). Basics of Quantum Theory for Quantum-Like Modeling Information Retrieval. Quantum-Like Models for Information Retrieval and Decision-Making. Springer. 51-82.
- Khrennikov, A. (2018). External Observer Reflections on QBism, Its Possible Modifications, and Novel Applications. Quantum Foundations, Probability and Information. Springer. 93-118.
- Baladron, C., Khrennikov, A. (2018). At the Crossroads of Three Seemingly Divergent Approaches to Quantum Mechanics. Quantum Foundations, Probability and Information. Springer. 13-21.
- Khrennikov, A., Toni, B. (2018). Quantum Foundations, Probability and Information : Preface. Quantum Foundations, Probability and Information. Springer. V-IX.
- Khrennikov, A., Kotovich, N. (2017). Image Segmentation with the Aid of the p-Adic Metrics. New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences. Springer. 143-154.
- Oleschko, K., Khrennikov, A., Oleshko, B.F., Parrot, J. (2017). The Primes are Everywhere, but Nowhere…. New Trends and Advanced Methods in Interdisciplinary. Springer. 155-167.
- Asano, M., Khrennikov, A., Ohya, M., Tanaka, Y. (2017). A hysteresis effect on optical illusion and non-Kolmogorovian probability theory. White Noise Analysis and Quantum Information. World Scientific. 201-213.
- Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., et al. (2016). Quantum Information Biology. Contextuality from Quantum Physics to Psychology. World Scientific. 399-413.
- Khrennikov, A. (2011). Classical wave model of quantum-like processing in brain. Quantum Bioinforamtics-4. World Scientific. 209-222.
- Khrennikov, A. (2011). Ion Trap Experiments on Entanglement: The Low Visibility Case.. Advances in Quantum Theory. American Institute of Physics (AIP). 311-315.
- Adenier, G., Khrennikov, A., Watabanabe, N. (2011). A Fair sampling test for Ekert protocol. Quantum Bio-inforamtics IV : From Quantum Information to BioInformatics. World Scientific. 403-412.
- Asano, M., Ohya, M., Tanaka, Y., Khrennikov, A., Basieva, I. (2011). Quantum uncertainty and decision-making in game theory. Quantum Bioinformatics-4. World Scientific. 51-60.
- Asano, M., Ohya, M., Tanaka, Y., Yamato, I., Khrennikov, A., et al. (2011). Quantum-like paradigm from molecular biology to cognitive psychology.. Quantum Interaction. Springer. 182-191.
- Khrennikov, A., Basieva, I. (2011). Quantum-like Representation of Bayesian Inference. ADVANCES IN QUANTUM THEORY. Melville, NY, American Institute of Physics (AIP). 57-62.
- Anashin,, V., Khrennikov, A., Yurova, E. (2011). Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure. Advances in Non-Archimedean Analysis : 11th International Conference p-adic Funcional Analysis, July 5-9, 2010, Université Blaise Pascal, Clemont-Ferrand, France. American Mathematical Society (AMS). 33-38.
- Khrennikov, A. (2011). Towards violation of Born's rule: description of a simple experiment.. Advances in Quantum Theory. American Institute of Physics (AIP). 387-394.
- Khrennikov, A. (2011). Prequantum Classical Statistical Field Theory: Fundamentals. Advances in Quantum Theory. American Institute of Physics (AIP). 128-137.
- Khrennikov, A. (2009). Quantum-like representation of macroscopic configurations.. Quantum Interaction : Third International Symposium, QI 2009, Saarbrücken, Germany, March 25-27, 2009. Proceedings. Berlin, Springer. 44-58.
- Khrennikov, A. (2009). Quantum-Like models for decision making in psychology and cognitive science. Quantum Bio-Informatics II : From Quantum Information to Bio-Informatics. Singapore, WSP. 105-118.
- Accardi, L., Khrennikov, A., Ohya, M. (2009). The problem of quantum-like representation in economy, cognitive science, and genetics. Quantum Bio-Informatics II : from Quantum Information toBio-Informatics. Singapore, WSP. 1-8.
- Khrennikov, A. (2005). Hierarchic p-adic encoding of cognitive information based on neuronal trees. Recent Research Developments in Experimental & Theoretical Biology. 19-39.
Chapter in book (Other academic)
- Haven, E., Khrennikov, A. (2017). A brief introduction to quantum formalism. The Palgrave Handbook of Quantum Models in Social Science : Applications and Grand Challenges. Palgrave Macmillan. 1-17.
- Khrennikov, A. (2017). Why quantum?. The Palgrave Handbook of Quantum Models in Social Science : Applications and Grand Challenges. Palgrave Macmillan. 321-334.
- Basieva, I., Khrennikov, A. (2017). Decision-making and cognition modeling from the theory of mental instruments. The Palgrave Handbook of Quantum Models in Social Science : Applications and Grand Challenges. Palgrave Macmillan. 75-93.
- Khrennikov, A. (2009). Quantum mechanics from time scaling and random fluctuation. Quantum Mechanics: New formulations and application. Moscow, Moscow State Open University Press. 173-177.
Chapter in book (Other (popular science, discussion, etc.))
- Khrennikov, A. (2008). Toward Theory of P-adic Valued Probabilities. Philosophicaql Logic. University of Bialymstoku Publisher. 137-154.
- Khrennikov, A. (2006). Ultrametric thinking and Freud's theory of unconscious mind.. New Research on Consciousness. Nova Science Publishers. 117-185.
Conference paper (Refereed)
- Shor, O., Benninger, F., Khrennikov, A. (2023). Representation of the universe as dendrogramic hologram empowered with relational interpretation. 10th International Workshop on Decoherence, Information, Complexity and Entropy: Quantum Riddles and Spacetime Oddities, DICE 2022 Castiglioncello, Tuscany, 19 - 23 September 2022.
- Lebedev, A., Khrennikov, A. (2023). Quantum-like modeling of the order effect in decision making : POVM viewpoint on the wang-busemeyer QQ-equality. Infinite Dimensional Analysis, Quantum Probability and Related Topics. Proceedings of the International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP38. 123-128.
- Khrennikov, A. (2022). Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence. Infinite Dimensional Analysis, Quantum Probability and Applications. ICQPRT 2021. 89-100.
- Khrennikov, A. (2022). Quantum-Like Modeling : Projection Postulate and Quantum Nonlocality. Credible Asset Allocation, Optimal Transport Methods, and Related Topics. TES 2022. 97-106.
- Yurova, E., Khrennikov, A. (2019). Description of (Fully) Homomorphic Cryptographic Primitives Within the p-Adic Model of Encryption. Analysis, Probability, Applications, and Computation : Proceedings of the 11th ISAAC Congress, Växjö (Sweden) 2017. 241-248.
- Khrennikov, A. (2019). Violation of the Bell's type inequalities as a local expression of incompatibility. 9th International Workshop DICE2018: Spacetime - Matter - Quantum Mechanics 17–21 September 2018, Castiglioncello, Italy. 1-7.
- Khrennikov, A. (2017). Constraints on quantum information field and "human gain medium" making possible functioning of social laser. 8th International Workshop DICE2016 : Spacetime - Matter - Quantum Mechanics. 1-8.
- Basieva, I., Khrennikov, A. (2017). Testing Boundaries of Applicability of Quantum Probabilistic Formalism to Modeling of Cognition : Metaphors of Two and Three Slit Experiments. QUANTUM INTERACTION, QI 2016. 49-56.
- Enaki, N.A., Koroli, V.I., Bazgan, S., Nistreanu, A., Palistrant, S., et al. (2016). Quantum Information Processes in Protein Microtubules of Brain Neurons. 3rd International Conference on Nanotechnologies and Biomedical Engineering. 245-249.
- Khrennikov, A., Oleschko, K., De Jesus Correa Lopez, M. (2016). Applications of p-adic numbers : from physics to geology. ADVANCES IN NON-ARCHIMEDEAN ANALYSIS. 121-131.
- Khrennikov, A. (2015). Classical probabilistic realization of "Random Numbers Certified by Bell's Theorem". 7TH INTERNATIONAL WORKSHOP DICE2014 SPACETIME - MATTER - QUANTUM MECHANICS.
- Khrennikov, A., Basieva, I. (2015). Quantum(-Like) Decision Making : On Validity of the Aumann Theorem. Quantum Interaction (QI 2014). 105-118.
- Basieva, I., Khrennikov, A. (2015). Quantum(-like) Formalization of Common Knowledge : Binmore-Brandenburger Operator Approach. Quantum Interaction (QI 2014) : 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014. Revised Selected Papers. 93-104.
- Khrennikov, A. (2014). Classical probability model for Bell inequality. . Article ID: 012019.
- Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y., et al. (2014). Lamarckian Evolution of Epigenome from Open Quantum Systems and Entanglement. Quantum Interaction : 7th International Conference, QI 2013, Leicester, UK, July 25-27, 2013. Selected Papers. 324-334.
- Asano, M., Hashimoto, T., Khrennikov, A., Ohya, M., Tanaka, Y. (2014). Adaptive Dynamics and Optical Illusion on Schröder’s Stair. Quantum Interaction : 7th International Conference, QI 2013, Leicester, UK, July 25-27, 2013. Selected Papers. 191-200.
- Tanaka, Y., Ohya, M., Khrennikov, A., Asano, M. (2014). Non-Kolmogorov probability and its use for constructing a model of human perception process. 2014 IEEE 13th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC). 44-47.
- Khrennikov, A. (2014). Towards a Wave Resolution of the Wave-Particle Duality. Quantum Foundations and Open Quantum Systems : Lecture Notes of the Advanced School. 349-374.
- Asano, M., Ohya, M., Tanaka, Y., Yamato, I., Basieva, I., et al. (2013). A Mathematical Treatment of Joint and Conditional Probability. Quantum Bio-Informatics V - Proceedings of the Quantum Bio-Informatics 2011 : Tokyo University of Science, Japan, 7 – 12 March 2011. 69-84.
- Asano, M., Ohya, M., Basieva, I., Khrennikov, A. (2013). General Formalism of Decision Making Based on Theory of Open Quantum Systems. Quantum Bio-Informatics V - Proceedings of the Quantum Bio-Informatics 2011 : Tokyo University of Science, Japan, 7 – 12 March 2011. 49-56.
- Asano, M., Basieva, I., Khrennikov, A., Ohya, M., Tanaka, Y. (2013). Quantum-Like Representation of Non-Bayesian Inference. Quantum Bio-Informatics V - Proceedings of the Quantum Bio-Informatics 2011 : Tokyo University of Science, Japan, 7 – 12 March 2011. 57-67.
- Adenier, G., Watanabe, N., Basieva, I., Khrennikov, A. (2013). Multiple-photon absorption attack on entanglement-based quantum key distribution protocols. Quantum Bio-Informatics V: Proceedings of the Quantum Bio-Informatics 2011 : Tokyo University of Science, Japan, 7 – 12 March 2011. 171-180.
- Khrennikov, A., Nilsson, B., Nordebo, S., Volovich, I. (2012). On the quantization of the electromagnetic field of a layered dielectric waveguide. QUANTUM THEORY : RECONSIDERATION OF FOUNDATIONS 6. 285-299.
- Asano, M., Basieva, I., Khrennikov, A., Ohyna, M., Tanaka, Y., et al. (2012). Towards Modeling of Epigenetic Evolution with the Aid of Theory of Open Quantum Systems. Quantum Theory : Reconsideration of Fundations 6. 75-78.
- Basieva, I., Khrennikov, A. (2012). Observables Generalizing Positive Operator Valued Measures. QUANTUM THEORY : RECONSIDERATION OF FOUNDATIONS 6. 94-97.
- Khrennikov, A. (2012). Växjo Interpretation of Wave Function : 2012. QUANTUM THEORY : RECONSIDERATION OF FOUNDATIONS 6. 244-252.
- Khrennikov, A. (2009). Born's rule for momentum measurement fromprequantum field theory. FOURTH INTERNATIONAL WORKSHOP DICE2008 : FROM QUANTUM MECHANICS THROUGH COMPLEXITY TO SPACETIME: THE ROLE OF EMERGENT DYNAMICAL STRUCTURES. 012035.
- Khrennikov, A. (2009). Demystification of Bell inequality. The nature of Light : What are Photons? III. 74210E.
- Avis, D., Fischer, P., Hilbert, A., Khrennikov, A. (2009). Single, Complete, Probability Spaces Consistent With EPR-Bohm-Bell Experimental Data. Foundations of Probability and Physics-5. 294-301.
- Khrennikov, A. (2009). CLassical and Quantum-like randomness and the financial market. Coping with the Complexity of Economics. 67-77.
- Khrennikov, A., Schumann, A. (2009). Physics Beyond The Set : Theoretic Axiom of Foundation. Foundations of Probability and Physics-5. 374-380.
- Khrennikov, A. (2009). Born's rule for probability of quantum detection front classical random field. MATHEMATICAL MODELING OF WAVE PHENOMENA : 3rd Conference on Mathematical Modeling of Wave Phenomena, 20th Nordic Conference on Radio Science and Communications. 260-268.
- Khrennikov, A. (2009). Can fluctuations of classical random field produce quantum averages?. The Nature of Light : What are Photons? III. 742102.
- Khrennikov, A. (2009). Violation of Bell's Inequality and non-Kolmogorovness. Foundations of Probability and Physics-5. 86-99.
- Ishiwatari, T., Khrennikov, A., Nilsson, B., Volovich, I. (2009). Quantum Field theory and Distance Effects for Polarization Correlations in Waveguides. Mathematical modelling of wave phenomena : 3rd Conference on Mathematical Modelling of Wave Phenomena, Växjö, Sweden, 9 – 13 June 2008. 276-285.
- Khrennikov, A. (2008). Applications of Quantum Probability in psychology. International Conference on Mathematical Physics and its Applications. 207-208.
- Khrennikov, A. (2008). Formula of total probability, interference, and quantum-like representation of data for experiments on disjunction effect. Quantum Interaction. 24-30.
- Khrennikov, A. (2008). Contextual Probabilistic Analysis of Bell's Inequality: Nonlocality, "Death of Reality'' or Non-Kolmogorovness?. Second International Conference on Quantum, Nano and Micro Technologies (ICQNM 2008). 60-65.
- Nilsson, B., Khrennikov, A. (2007). Exact solutions of the Schrödinger equation. AIP Conference Proceedings : Quantum Theory. Reconsideration of Foundations -4. 302-306.
- Khrennikov, A. (2007). Fair sampling vs nonsignaling principle in EPR experiments.. Beyond the quantum.. 181-188.
- Khrennikov, A. (2007). Hyperbolic quantization.. Quantum Probability and Infinite Dimensional Analysis. 282-287.
- Khrennikov, A. (2007). p-Adic and Group-Valued Probabilities.. Harmonic, Wavelet and P-adic Analysis.
- Khrennikov, A. (2007). P-adic dynamical representation of gene expression.. Foundations of Probability and Physics-4. 324-331.
- Khrennikov, A. (2007). Prequantum classical statistical field theory -- PCSFT. Foundations of Probability and Physics-3. 118-120.
- Khrennikov, A. (2007). Quantum mechanics as simple algorithm for approximation of classical integrals.. Beyond the quantum. 212-223.
- Khrennikov, A. (2007). Quantum-like contextual model for processing of information in brain.. AAAI Spring Symposium (Quantum Interaction). 83-90.
- Khrennikov, A. (2007). Quantum mechanics from statistical mechanics of classical fields. J. Phys.: Conf. Ser.. 1-21.
- Khrennikov, A. (2007). A Mathematician's Viewpoint to Bell's theorem: In Memory of Walter Philipp. In: Foundations of probability and physics-- 4. AIP Conference Proceedings. 7.
- Khrennikov, A. (2007). Bell's inequality: Nonlocality, ``death of reality,'' or incompatibility of random variables?. Foundations of Probability and Physics-3. 121-131.
- Khrennikov, A. (2007). Discrete energy spectrum in discrete time dynamics.. Quantum Probability and Infinite Dimensional Analysis. 288-294.
- Khrennikov, A. (2007). Einstein's dream.. The nature of light: What are photons?. 666409-1.
- Khrennikov, A. (2007). Infinite-Dimensional Stochastic Analysis and Foundations of Quantum Mechanics.. Advances in deterministic and stochastic analysis. 321-340.
- Khrennikov, A. (2007). On negative probabilities.. Derivatives: Models on Models. 317-323.
- Khrennikov, A. (2007). To quantum mechanics through Gaussian integration and the Taylor expansion of functionals of classical fields. Quantum Probability and Infinite Dimensional Analysis. 274-281.
- Khrennikov, A. (2006). Adelic Superanalysis. Proceedings of the International Conference Supersymmetries and Quantum Symmetries. 384-392.
- Khrennikov, A., Adenier, G. (2006). Anomalies in EPR-Bell experiments.. Quantum theory: reconsideration of foundations---3. 283.
- Khrennikov, A., Volovich, Y. (2006). Energy levels of "hydrogen atom" in discrete time dynamics.. Quantum theory: reconsideration of foundations---3,. 411.
- Khrennikov, A. (2006). On the algebraic aspect of singular solutions to conservative laws of systems.. Proceedings of the International Conference Modeling of Wave Phenomena. 206-213.
- Khrennikov, A. (2006). p-adic probability theory and its generalizations.. Proceedings 2-nd Int. Conf. on P-adic Mathematical Physics, Belgrade, Serbia. 105-120.
- Khrennikov, A. (2006). On ultrametricity and a symmetry between Bose-Einstein and Fermi-Dirac Systems.. Proceedings 2-nd Int. Conf. on P-adic Mathematical Physics, Belgrade, Serbia. 55-64.
- Khrennikov, A. (2006). Symplectic geometry on the Hilbert phase space and foundations of quantum mechanics.. Proceedings of the International Conference Modeling of Wave Phenomena. 324-343.
- Khrennikov, A. (2006). Quantum mechanics as an asymptotic projection of statistical mechanics of classical fields.. Quantum theory: reconsideration of foundations---3. 179.
- Khrennikov, A. (2006). Pseudo-differential operators in the p-adic Lizorkin space. Proceedings 2-nd Int. Conf. on P-adic Mathematical Physics, Belgrade, Serbia. 195-205 ,.
- Khrennikov, A. (2005). Classical and quantum statistical models as projections of information prespace. Proceedings of 11th Int. Conference on Information Systems Analysis and Synthesis. 118-125.
- Khrennikov, A., Grib, A., Parfinov, N., Starkov, K. (2005). Distributivity breaking and macroscopic quantum games.
- Khrennikov, A. (2005). From classical statistical model to quantum model through ignorance of information. Proceedings of 3d Conference on Foundations of Information Science.
- Khrennikov, A., Bulinski, A. (2005). NTCP model under weak dependence conditions. Transactions of XXV International Seminar on Stability for Stochastic Models. 79-88.
- Khrennikov, A. (2005). Interference of probabilities in purely corpuscular model.. Proceedings of SPIE. 100-111.
- Khrennikov, A. (2005). To quantum mechanics through projection of classical statistical mechanics on prespace. Endophysics, Time, Quantum and the Subjective.
- Khrennikov, A. (2005). Reconstruction of quantum theory on the basis of the formula of total probability. Foundations of probability and physics---3. 187-218.
- Khrennikov, A. (2005). Financial perpetuummobile. Proceedings of 9th World Multi-Conference on Systemics, Cybernetics and Informatics. Proceedings of 9th World Multi-Conference on Systemics, Cybernetics and Informatics. 335-342.
Conference paper (Other academic)
- Adenier, G., Khrennikov, A. (2007). Fair sampling and rotational invariance in EPR experiments. The Nature of Light: What Are Photons?.
Conference paper (Other (popular science, discussion, etc.))
- Adenier, G., Khrennikov, A. (2007). Fair Sampling vs No-Signalling Principle in EPR experiments. Beyond the Quantum. 181-187.
Patent (Other (popular science, discussion, etc.))
- Khrennikov, A., Shor, O., Benninger, F. (2020). P-adic quantum potential in neuropsychiatric diseases.
Conference proceedings (editor) (Refereed)
- Nieuwenhuizen, T., Pombo, C., Furtado, C., Khrennikov, A., Pedrosa, I.A., et al. (2014). Quantum Foundations and Open Quantum Systems : Lecture Notes of the Advanced School. World Scientific. 612.
- D'ariano, M., Fei, S.M., Haven, E., Hiesmayr, B., Jaeger, G., et al. (2012). Foundations of Probability and Physics-6. American Institute of Physics (AIP). 450.
- Khrennikov, A., Atmanspcher, H., Migdall, A., Polyakov, S. (2012). Quantum Theory : Reconsideration of Foundations-6. American Institute of Physics (AIP). 580.
- Khrennikov, A. (2011). Advances in Quantum Theory. American Institute of Physics (AIP).
- Khrennikov, A. (2009). Foundations of Probability and Physics-5. Amecrican Institute of Physics.
- Roychoudhuri, C., Kracklauer, A.F., Khrennikov, A. (2009). The Nature of Light : What are Photons? III. SPIE - International Society for Optical Engineering.
- Khrennikov, A. (2007). Harmonic, Wavelet and P-adic Analysis. World Scientific Publishing, Singapore.
- Khrennikov, A., Nieuwenhuizen, T.M., Mehmani, B., Špicka, V., J Aghdami, M. (2007). Beyond the Quantum. World Scientific Publishing, Singapore.
- Adenier, G., Khrennikov, A. (2007). Foundations of probability and Physics - 4. AIP, Melville, New-York. 464.
- Khrennikov, A., Adenier, G., Lahti, P., Man'ko, V., Neuhuizen, T. (2007). Quantum Theory : Reconsideration of Foundations-4. American Institute of Physics, Ser. Conference Proceedings, 962, Melville, NY,. 366.
Conference proceedings (editor) (Other (popular science, discussion, etc.))
- Khrennikov, A. (2006). Proceedings of Conference p-adic mathematical physics-2. American Institute of Physics. 1-390.
- Khrennikov, A., Adenier, G. (2006). Proceedings of Conference Quantum Theory: Reconsideration of Foundations-3. American Institute of Physics. 1-580.
Collection (editor) (Refereed)
- Khrennikov, A., Bagarello, F. (2020). Special Issue "Quantum Models of Cognition and Decision-Making". MDPI.
- Khrennikov, A., Svozil, K. (2020). Special Issue "Quantum Probability and Randomness II". Zurich, MDPI.
- Aerts, D., Khrennikov, A., Melucci, M., Bourama, T. (2019). Quantum-Like Models for Information Retrieval and Decision-Making. Springer. 173.
- Khrennikov, A., Toni, B. (2018). Quantum Foundations, Probability and Information. Springer. 295.
Collection (editor) (Other academic)
- Haven, E., Khrennikov, A. (2017). The Palgrave handbook of quantum models in social science : Applications and grand challenges. Palgrave Macmillan. 365.
- Khrennikov, A. (2006). International Research Journal “Problems and Perspectives in Management”. BUSINESS PERSPECTIVES BUSINESS PERSPECTIVES.