Andrei Khrennikov

Andrei Khrennikov är professor i tillämpad matematik på institutionen för matematik vid Linnéuniversitetet. Andrei är ledare för forskargruppen International Center for Mathematical Modeling (ICMM) och har även arrangerat ett tjugotal konferenser inom området kvantteori vid universitetet.

Växjökonferensen inom kvantteori

År 2000 arrangerade forskargruppen International Center for Mathematical Modeling in physics, engineering and cognitive sciences (ICMM) den första konferensen inom kvantteori vid Linnéuniversitetet (då Växjö universitet). Grunden till konferensen var den revolution inom området som ägde rum i slutet av 1900-talet.

Konferensen är tvärvetenskaplig och dess teman har varierat genom åren, men den rör sig inom områden som kvantteori (inklusive filosofiska frågor), kvantexperiment och kvantteknologier. Den är årligen återkommande och därmed den längsta kontinuerliga serien av konferenser inom kvantteori.

Konferensserien karakteriseras inte minst av två utmärkande egenskaper:

En öppenhet för uttryckandet av åsikter om ursprunget för eller problemen med kvantmekaniska grunder och deras förhållande till sannolikhetsteorins problem och möjliga sätt att lösa dem.
En aktiv blandning av ledande experter inom teori och experiment, och till och med några filosofer.

På så vis är denna konferensserie unik. Man kan inte hitta någonting liknande någon annanstans i världen.

Social Laser in Action: from Color Revolutions to Brexit and Donald Trump

Föreläsning av Andrei Khrennikov vid Foundations of Quantum Mechanics and Technology 2017, en internationell konferens inom kvantmekanik vid Linnéuniversitetet.

Kvantpartiklar håller mystisk kontakt – trots stora avstånd

Reportage från Quantum and Beyond 2016, en internationell konferens inom kvantmekanik vid Linnéuniversitetet.

För fler filmer från konferenserna och mer information om min forskning, se min engelska sida.

Mina forskargrupper

Mina pågående forskningsprojekt

Publikationer

Artikel i tidskrift (Refereegranskat)

Yurova Axelsson, E., Khrennikov, A. (2024). Generation of genetic codes with 2-adic codon algebra and adaptive dynamics. Biosystems (Amsterdam. Print). 240.
Status: Publicerad
Khrennikov, A. (2024). Characterization of Entanglement via Non-Existence of a Subquantum Random Field. Annalen der Physik.
Status: Epub för tryck
Khrennikov, A. (2024). Contextual measurement model and quantum theory. Royal Society Open Science. 11 (3).
Status: Publicerad
Khrennikov, A. (2024). Ozawa’s Intersubjectivity Theorem as Objection to QBism Individual Agent Perspective. International journal of theoretical physics. 63 (1).
Status: Publicerad
Khrennikov, A. (2024). Relational Quantum Mechanics : Ozawa's Intersubjectivity Theorem as Justification of the Postulate on Internally Consistent Descriptions. Foundations of physics. 54 (3).
Status: Publicerad
Khrennikov, A., Iryama, S., Basieva, I., Sato, K. (2024). Quantum-like environment adaptive model for creation of phenotype. Biosystems (Amsterdam. Print). 242.
Status: Publicerad
Ozawa, M., Khrennikov, A. (2023). Nondistributivity of human logic and violation of response replicability effect in cognitive psychology. Journal of mathematical psychology (Print). 112.
Status: Publicerad
Shor, O., Benninger, F., Khrennikov, A. (2023). Rao-Fisher information geometry and dynamics of the event-universe views distributions. Heliyon. 9 (9).
Status: Publicerad
Khrennikov, A. (2023). Open Systems, Quantum Probability, and Logic for Quantum-like Modeling in Biology, Cognition, and Decision-Making. Entropy. 25 (6).
Status: Publicerad
Baladrón, C., Khrennikov, A. (2023). Simulation of Closed Timelike Curves in a Darwinian Approach to Quantum Mechanics. Universe. 9 (2).
Status: Publicerad
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).
Status: Publicerad
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).
Status: Publicerad
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).
Status: Publicerad
Shor, O., Benninger, F., Khrennikov, A. (2023). Quantization of events in the event-universe and the emergence of quantum mechanics. Scientific Reports. 13 (1).
Status: Publicerad
Khrennikov, A., Basieva, I. (2023). Entanglement of Observables : Quantum Conditional Probability Approach. Foundations of physics. 53.
Status: Publicerad
Alodjants, A., Zacharenko, P., Tsarev, D., Avdyushina, A., Nikitina, M., et al. (2023). Random Lasers as Social Processes Simulators. Entropy. 25 (12).
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
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).
Status: Publicerad
Khrennikov, A. (2022). On Applicability of Quantum Formalism to Model Decision Making : Can Cognitive Signaling Be Compatible with Quantum Theory?. Entropy. 24 (11).
Status: Publicerad
Shor, O., Benninger, F., Khrennikov, A. (2022). Towards Unification of General Relativity and Quantum Theory : Dendrogram Representation of the Event-Universe. Entropy. 24 (2).
Status: Publicerad
Khrennikov, A. (2022). Social Fröhlich condensation : preserving societal order through sufficiently intensive information pumping. Kybernetes. 51 (13). 138-155.
Status: Publicerad
Basieva, I., Khrennikov, A. (2022). "What Is Life?" : Open Quantum Systems Approach. Open systems & information dynamics. 29 (4).
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2022). Order stability via Fröhlich condensation in bio, eco, and social systems : The quantum-like approach. Biosystems (Amsterdam. Print). 212.
Status: Publicerad
Alodjants, A.P., Bazhenov, A.Y., Khrennikov, A., Bukhanovsky, A.,.V. (2022). Mean-field theory of social laser. Scientific Reports. 12 (1).
Status: Publicerad
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).
Status: Publicerad
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).
Status: Publicerad
Khrennikov, A. (2021). Quantum-like model for unconscious-conscious interaction and emotional coloring of perceptions and other conscious experiences. Biosystems (Amsterdam. Print). 208.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2021). Can There be Given Any Meaning to Contextuality Without Incompatibility?. International journal of theoretical physics. 60. 106-114.
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
Dragovich, B., Khrennikov, A., Kozyrev, S.V., Misic, N.Z. (2021). p-Adic mathematics and theoretical biology. Biosystems (Amsterdam. Print). 199.
Status: Publicerad
Shor, O., Benninger, F., Khrennikov, A. (2021). Dendrogramic Representation of Data : CHSH Violation vs. Nonergodicity. Entropy. 23 (8).
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2021). Formalization of Bohr's Contextuality Within the Theory of Open Quantum Systems. Journal of Russian Laser Research. 42 (4). 371-377.
Status: Publicerad
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.
Status: Publicerad
Basieva, I., Khrennikov, A., Ozawa, M. (2021). Quantum-like modeling in biology with open quantum systems and instruments. Biosystems (Amsterdam. Print). 201. 1-11.
Status: Publicerad
Khrennikov, A. (2021). Is the Devil in h?. Entropy. 23 (5).
Status: Publicerad
Khrennikov, A., Watanabe, N. (2021). Order-Stability in Complex Biological, Social, and AI-Systems from Quantum Information Theory. Entropy. 23 (3).
Status: Publicerad
Shor, O., Benninger, F., Khrennikov, A. (2021). Representation of the Universe as a Dendrogramic Hologram Endowed with Relational Interpretation. Entropy. 23 (5).
Status: Publicerad
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).
Status: Publicerad
Khrennikov, A. (2021). Bell-inequality and two slit experiments : comparing misapplication of classical probability by Feynman and Bell. Computational nanotechnology. 3. 19-22.
Status: Publicerad
Khrennikov, A. (2021). Roots of quantum computing supremacy : superposition, entanglement, or complementarity?. The European Physical Journal Special Topics. 230. 1053-1057.
Status: Publicerad
Khrennikov, A. (2020). Quantum-like modeling : cognition, decision making, and rationality. Mind & Society. 19 (2). 307-310.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2020). Social Laser Model for the Bandwagon Effect : Generation of Coherent Information Waves. Entropy. 22 (5). 1-17.
Status: Publicerad
Khrennikov, A. (2020). Two Faced Janus of Quantum Nonlocality. Entropy. 22 (3). 1-17.
Status: Publicerad
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.
Status: Publicerad
Iurato, G., Khrennikov, A. (2020). Entropy, externality and human evolution. Biosystems (Amsterdam. Print). 191. 1-8.
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A., Asano, M. (2020). A Quantum-Like Model of Information Processing in the Brain. Applied Sciences. 10 (2). 1-14.
Status: Publicerad
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).
Status: Publicerad
Khrennikov, A., Kochubei, A.N. (2020). On the p-adic Navier-Stokes equation. Applicable Analysis. 99 (8). 1425-1435.
Status: Publicerad
Fuchs, C.A., Khrennikov, A. (2020). Preface to Special Issue : Quantum Information Revolution: Impact to Foundations. Foundations of physics. 50. 1757-1761.
Status: Publicerad
Rashkovskiy, S., Khrennikov, A. (2020). Psychological 'double-slit experiment' in decision making : Quantum versus classical. Biosystems (Amsterdam. Print). 195. 1-11.
Status: Publicerad
Khrennikov, A. (2020). Quantum Versus Classical Entanglement : Eliminating the Issue of Quantum Nonlocality. Foundations of physics. 50 (12). 1762-1780.
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A., Haven, E. (2020). Quantum-like Modeling: from Economics to Social Laser. Asian Journal of Economics and Banking. 4 (1). 87-99.
Status: Publicerad
Rashkovskiy, S., Khrennikov, A. (2019). Generalized Fock space and contextuality. Philosophical Transactions. Series A : Mathematical, physical, and engineering science. 377 (2157).
Status: Publicerad
Khrennikov, A. (2019). Hertz’s Viewpoint on Quantum Theory. Activitas Nervosa Superior : Journal for Neuroscience and Cognitive Research. 61. 24-30.
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
Wu, B., Khrennikov, A. (2019). p-Adic Analogue of the Wave Equation. Journal of Fourier Analysis and Applications. 25 (5). 2447-2462.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2019). Get Rid of Nonlocality from Quantum Physics. Entropy. 21 (8).
Status: Publicerad
Khrennikov, A., Svozil, K. (2019). Quantum Probability and Randomness. Entropy. 21 (1). 1-5.
Status: Publicerad
Melkikh, A.V., Khrennikov, A., Yampolskiy, R.V. (2019). Quantum metalanguage and the new cognitive synthesis. NeuroQuantology. 17 (1). 72-96.
Status: Publicerad
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).
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2018). Social laser model : from color revolutions to Brexit and election of Donald Trump. Kybernetes. 47 (2). 273-288.
Status: Publicerad
Khrennikov, A. (2018). Towards Better Understanding QBism. Foundations of Science. 23 (1). 181-195.
Status: Publicerad
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).
Status: Publicerad
D'ariano, M., Khrennikov, A., Melucci, M. (2018). Special Issue "Quantum Mechanics: From Foundations to Information Technologies". Entropy. 20 (6).
Status: Publicerad
Khrennikov, A., Basieva, I. (2018). Towards Experiments to Test Violation of the Original Bell Inequality. Entropy. 20 (4).
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A., Kochubei, A.N. (2018). p-Adic Analogue of the Porous Medium Equation. Journal of Fourier Analysis and Applications. 24 (5). 1401-1424.
Status: Publicerad
Yurova, E., Khrennikov, A. (2018). Subcoordinate Representation of p-adic Functions and Generalization of Hensel's Lemma. Izvestiya. Mathematics. 82 (3). 632-645.
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A., Alodjants, A., Trofimova, A., Tsarev, D. (2018). On Interpretational Questions for Quantum-Like Modeling of Social Lasing. Entropy. 20 (12).
Status: Publicerad
Asano, M., Basieva, I., Pothos, E.M., Khrennikov, A. (2018). State Entropy and Differentiation Phenomenon. Entropy. 20 (6).
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
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).
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2017). Bohr against Bell : complementarity versus nonlocality. Open Physics. 15 (1). 734-738.
Status: Publicerad
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.
Status: Publicerad
Adenier, G., Khrennikov, A. (2017). Test of the no-signaling principle in the Hensen loophole-free CHSH experiment. Fortschritte der Physik. 65 (9).
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
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).
Status: Publicerad
Dzhafarov, E., Haven, E., Khrennikov, A., Sozzo, S. (2017). Foreword. Journal of mathematical psychology (Print). 78. 1-1.
Status: Publicerad
Khrennikov, A. (2017). After Bell. Fortschritte der Physik. 65 (6-8).
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2017). Quantum epistemology from subquantum ontology : Quantum mechanics from theory of classical random fields. Annals of Physics. 377. 147-163.
Status: Publicerad
Melkikh, A.V., Khrennikov, A. (2017). Quantum-like model of partially directed evolution. Progress in Biophysics and Molecular Biology. 125. 36-51.
Status: Publicerad
Khrennikov, A. (2017). The Present Situation in Quantum Theory and its Merging with General Relativity. Foundations of physics. 47 (8). 1077-1099.
Status: Publicerad
Khrennikov, A., Smolyanov, O.G. (2017). Measures on the Hilbert space of a quantum system. Russian journal of mathematical physics. 24 (2). 234-240.
Status: Publicerad
Dragovich, B., Khrennikov, A., Misic, N.Z. (2017). Summation of p-Adic Functional Series in Integer Points. Filomat. 31 (5). 1339-1347.
Status: Publicerad
Haven, E., Khrennikov, A. (2017). The use of action functionals within the quantum-like paradigm. Journal of mathematical psychology (Print). 78. 13-23.
Status: Publicerad
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).
Status: Publicerad
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.
Status: Publicerad
Khrennikov, A. (2017). Emergence of quantum mechanics from theory of random fields. Journal of Russian Laser Research. 38 (1). 9-26.
Status: Publicerad
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).
Status: Publicerad
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.
Status: Publicerad
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).
Status: Publicerad
Khrennikov, A. (2017). Buonomano against Bell : Nonergodicity or nonlocality?. International Journal of Quantum Information. 15 (8).
Status: Publicerad
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.
Status: Publicerad
Dragovich, B., Khrennikov, A., Mišić, N.Ž. (2017). Ultrametrics in the genetic code and the genome. Applied Mathematics and Computation. 309. 350-358.
Status: Publicerad
Khrennikov, A. (2016). p-adic numbers : from superstrings and molecular motors to cognition and psychology. Banach Center Publications. 109. 47-56.
Status: Publicerad
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.
Status: Publicerad
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.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2016). Reflections on Zeilinger-Brukner Information Interpretation of Quantum Mechanics. Foundations of physics. 46 (7). 836-844.
Status: Publicerad
Khrennikov, A. (2016). Bell Could Become the Copernicus of Probability. Open systems & information dynamics. 23 (2).
Status: Publicerad
Khrennikov, A. (2016). Randomness : Quantum versus classical. International Journal of Quantum Information. 14 (4).
Status: Publicerad
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: Publicerad
Khrennikov, A. (2015). CHSH Inequality : Quantum Probabilities as Classical Conditional Probabilities. Foundations of physics. 45 (7). 711-725.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2015). Unconditional Quantum Correlations do not Violate Bell's Inequality. Foundations of physics. 45 (10). 1179-1189.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2015). Foundations of analysis on superspace — 1 : Differential calculus. P-Adic Numbers, Ultrametric Analysis, and Applications. 7 (2). 96-110.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2015). Quantum-like modeling of cognition. Frontiers in Physics. 3.
Status: Publicerad
Titova, P., Khrennikov, A. (2015). Modeling Tests Based on the Eberhard Inequality. Journal of Russian Laser Research. 36 (1). 2-16.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2015). Two-slit experiment : quantum and classical probabilities. Physica Scripta. 90 (7).
Status: Publicerad
Khrennikov, A. (2015). Quantum-like model of unconscious-conscious dynamics. Frontiers in Psychology. 6.
Status: Publicerad
Khrennikov, A., Kotovich, N. (2015). Towards ultrametric modeling of unconscious creativity. International Journal of Cognitive Informatics and Natural Intelligence. 8 (4). 98-109.
Status: Publicerad
Khrennikov, A. (2015). Towards Information Lasers. Entropy. 17 (10). 6969-6994.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Busemeyer, J.R., Wang, Z., Khrennikov, A., Basieva, I. (2014). Applying quantum principles to psychology. Physica Scripta. T163.
Status: Publicerad
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: Publicerad
Khrennikov, A., Basieva, I., Dzhafarov, E.N., Busemeyer, J.R. (2014). Quantum Models for Psychological Measurements : An Unsolved Problem. PLOS ONE. 9 (10).
Status: Publicerad
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: Publicerad
Klein, M., Khrennikov, A. (2014). Recursion over Partitions. P-Adic Numbers, Ultrametric Analysis, and Applications. 6 (4). 303-309.
Status: Publicerad
Khrennikov, A. (2014). Towards a wave resolution of the wave-particle duality. International Journal of Modern Physics A. 29 (31). 1450185.
Status: Publicerad
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: Publicerad
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: Publicerad
Basieva, I., Khrennikov, A. (2014). Complementarity of Mental Observables. Topics in Cognitive Science. 6 (1). 74-78.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A., Schumann, A. (2014). Quantum non-objectivity from performativity of quantum phenomena. Physica Scripta. T163.
Status: Publicerad
Anashin, V., Khrennikov, A., Yurova, E. (2014). T-functions revisited : new criteria for bijectivity/transitivity. Designs, Codes and Cryptography. 71 (3). 383-407.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2013). The Schrödinger-Robinson inequality from stochastic analysis on a complex Hilbert space. Physica Scripta. 87 (3).
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A., Haven, E. (2013). Our quantum society. New scientist (1971). 219 (2924). 26-27.
Status: Publicerad
Haven, E., Khrennikov, A. (2013). Quantum-Like Tunnelling and Levels of Arbitrage. International journal of theoretical physics. 52 (11). 4083-4099.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2013). Prequantum classical statistical field theory : derivation of gaussianity of probability distributions. Quantum Probability Series QP-PQ. 29. 200-208.
Status: Publicerad
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: Publicerad
Khrennikov, A., Rosinger, E.E., Van Zyl, A. (2012). Graded Tensor Products and Entanglement. AIP Conference Proceedings. 1424. 189-194.
Status: Publicerad
Khrennikov, A., Weihs, G. (2012). Preface of the Special Issue Quantum Foundations : Theory and Experiment. Foundations of physics. 42 (6). 721-724.
Status: Publicerad
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: Publicerad
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: Publicerad
Kosyak, A.V., Khrennikov, A., Shelkovich, V.M. (2012). Wavelet bases on adele rings. Doklady. Mathematics. 85 (1). 75-79.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2012). New experimental tests of the photon's indivisibility. Journal of Russian Laser Research. 33 (3). 247-254.
Status: Publicerad
Khrennikov, A., Nilsson, B., Nordebo, S. (2012). Quantization of propagating modes in optical fibres. Physica Scripta. 85.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2012). Towards a Resolution of Dilemma : Nonlocality or Nonobjectivity?. International journal of theoretical physics. 51 (8). 2488-2502.
Status: Publicerad
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: Publicerad
Kosyak, A.V., Khrennikov, A., Shelkovich, V.M. (2012). Pseudodifferential operators on adele rings and wavelet bases. Doklady. Mathematics. 85 (3). 358-362.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2012). Bell Argument : Locality or Realism? Time to Make the Choice. AIP Conference Proceedings. 1424. 160-175.
Status: Publicerad
Khrennikov, A., Rosinger, E.E. (2012). Extended Tensor Products and Generalization of the Notion of Entanglement. AIP Conference Proceedings. 1424. 176-188.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2012). Towards new Grangier type experiments. Annals of Physics. 327 (7). 1786-1802.
Status: Publicerad
Khrennikov, A. (2012). View of bunching and antibunching from the standpoint of classical signals. Theoretical and mathematical physics. 172 (1). 1017-1034.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A., Nilsson, B., Nordebo, S., Volovich, I.V. (2012). Distance Dependence of Entangled Photons in Waveguides. AIP Conference Proceedings. 1424. 262-269.
Status: Publicerad
Anashin, V.S., Khrennikov, A., Yurova, E. (2012). Ergodicity of dynamical systems on 2-adic spheres. Doklady. Mathematics. 86 (3). 843-845.
Status: Publicerad
Khrennikov, A. (2012). Towards a Field Model of Prequantum Reality. Foundations of physics. 42 (6). 725-741.
Status: Publicerad
Khrennikov, A. (2012). Violation of Bell's inequality by correlations of classical random signals. Physica Scripta. T151. Article ID: 014003.
Status: Publicerad
Rosinger, E., Khrennikov, A. (2011). Beyond Archimedean Space-Time Structure. AIP Conference Proceedings. 1327. 520-526.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Kozyrev, S.V., Khrennikov, A. (2011). Replica procedure for probabilistic algorithms as a model of gene duplication. Doklady. Mathematics. 84 (2). 726-729.
Status: Publicerad
Khrennikov, A. (2011). A classical field theory comeback? : The classical field viewpoint on triparticle entanglement. Physica scripta. T. (T143).
Status: Publicerad
Kozyrev, S.V., Khrennikov, A. (2011). p-Adic integral operators in wavelet bases. Doklady. Mathematics. 83 (2). 209-212.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A., Masanori, O., Watanbe, N. (2011). Quantum probability from classical signal theory.. International Journal of Quantum Information. 9 (sup. 1). 281-292.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2011). Subquantum nonlocal correlations induced by the background random field.. Physica Scripta. 84 (4).
Status: Publicerad
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: Publicerad
Khrennikov, A., Maximov, V.M. (2011). About some probabilistic algebraic model of interaction between particles. AIP Conference Proceedings. 1327. 416-422.
Status: Publicerad
Khrennikov, A. (2011). Prequantum classical statistical field theory : background field as a source of everything?. Journal of Physics, Conference Series. 306 (1).
Status: Publicerad
Khrennikov, A. (2010). Correlations of components of prequantum field corresponding to biparticle quantum system. Europhysics letters. 90 (4). Article ID: 40004.
Status: Publicerad
Khrennikov, A. (2010). Description of composite quantum systems by means of classical random fields. Foundations of physics. 40 (8). 1051-1064.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2010). Quantum Correlations and Dynamics from Classical Random Fields Valued in Complex Hilbert Spaces. Journal of Mathematical Physics. 51 (8).
Status: Publicerad
Khrennikov, A. (2010). Representation of probabilistic data by quantum-like hyperbolic amplitudes. Advances in Applied Clifford Algebras. 20 (1). 43-56.
Status: Publicerad
Khrennikov, A. (2010). Subquantum detection theory—SDT. Physica. E, Low-Dimensional systems and nanostructures. 42 (3). 287-292.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2010). An analogue of the Heisenberg uncertainty relation in prequantum classical field theory. Physica Scripta. 81 (6). Article ID: 065001.
Status: Publicerad
Khrennikov, A., Ohya, M., Watanabe, N. (2010). Classical signal model for quantum channels. Journal of Russian Laser Research. 31 (5). 462-468.
Status: Publicerad
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: Publicerad
Kozyrev, S., Khrennikov, A. (2010). 2-Adic numbers in genetics and Rumer's symmetry. Doklady. Mathematics. 81 (1). 128-130.
Status: Publicerad
Khrennikov, A. (2010). Dialog on Beyond Quantum. AIP Conference Proceedings. 1232. 355-359.
Status: Publicerad
Khrennikov, A. (2010). Quantum correlations from classical Gaussian random variables: fundamental role of vacuum noise.. Fluctuation and Noise Letters. 9 (4). 331-341.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2010). On the Physical Basis of Theory of "Mental Waves". NeuroQuantology. 8 (DEC). s71-s80.
Status: Publicerad
Khrennikov, A. (2010). Quantum Integers. AIP Conference Proceedings. 1232. 299-305.
Status: Publicerad
Khrennikov, A. (2010). Classical and quantum probability for biologists-introdaction.. QP - PQ: Quantum Probability and White Noise Analysis. 26. 179-192.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2009). Bell’s inequality, Einstein, Podolsky, Rosenarguments and von Neumann’s projection postulate. Laser physics. 19 (1). 346-356.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2009). Gene expression from polynomial dynamics in the2-adic information space. Chaos, Solitons & Fractals. 42 (1). 341-347.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2009). Oleg Georgievich Smolyanov (on his 70th birthday). Russian Mathematical Surveys. 64 (1). 183-185.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2009). EPR "paradox", projection postulate, time synchronization "nonlocality". International Journal of Quantum Information. 7 (SUP 1). 71-81.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2009). What does probability theory tell us about Bell's inequality?. Advanced Science Letters. 2 (4). 488-497.
Status: Publicerad
Khrennikov, A., Kozyrev, S. (2009). 2-Adic clustering of the PAM matrix. Journal of Theoretical Biology. 261 (3). 396-406.
Status: Publicerad
Khrennikov, A. (2009). Entanglement's dynamics from classical stochastic process. Europhysics letters. 88 (4). Article ID: 40005.
Status: Publicerad
Smolyanov, O.G., Khrennikov, A. (2009). Generalized Kolmogorov models for probabilistic quantum-type experiments.. Doklady. Mathematics. 80 (2). 765-768.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2009). Von Neumann and Luders postulates and quantuminformation theory. International Journal of Quantum Information. 7 (7). 1303-1311.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2009). Gene expression from 2-adic dynamical systems. Proceedings of the Steklov Institute of Mathematics. 265 (1). 131-139.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A., Shelkovich, V., Skopina, M. (2009). P-adic refinable functions and MRA-based wavelets. Journal of Approximation Theory. 161 (1). 226-238.
Status: Publicerad
Khrennikov, A. (2009). Quantum correlations from classical Gaussiancorrelations. Journal of Russian Laser Research. 30 (5). 472-479.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2009). Quantum-like model of cognitive decision makingand information processing. Biosystems (Amsterdam. Print). 95. 179-187.
Status: Publicerad
Khrennikov, A. (2009). p-Adic numbers in bioinformatics. Vestnik of Samara State University, Natural Science Series. 8/1 (67).. 115-126.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2008). QUANTUM PROBABILITIES FROM DETECTION THEORY FOR CLASSICAL RANDOM FIELD. Fluctuation and Noise Letters. 8 (3-4). L393-L400.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2008). Einstein-Podolsky-Rosen paradox, Bell's inequality, and the projection postulate. Journal of Russian Laser Research. 29 (2). 101-113.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2008). Bell-Boole inequality: Nonlocality or probabilistic incompatibility of random variables?. Entropy. 10 (2). 19-32.
Status: Publicerad
Khrennikov, A., Shelkovich, V. (2008). Non-Haar p-adic wavelets and pseudodifferential operators. Doklady. Mathematics. 77 (1). 42-45.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2008). Quantum-like model for classical random electromagnetic field. Journal of Modern Optics. 55 (14). 2257-2267.
Status: Publicerad
Khrennikov, A. (2008). Hyperbolic quantization. Advances in Applied Clifford Algebras. 18 (3-4). 843-852.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2008). Born's rule from classical random fields. Physics Letters A. 372 (44). 6588-6592.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2008). EPR-Bohm experiment and Bell's inequality: Quantum physics meets probability theory. Theoretical and mathematical physics. 157 (1). 1448-1460.
Status: Publicerad
Khrennikov, A. (2008). Quantum-like Cognition from Multiplicity of Time Scales in the Brain. NeuroQuantology. 6 (4). 333-347.
Status: Publicerad
Khrennikov, A. (2008). The quantum-like brain on the cognitive and subcognitive time scales. Journal of consciousness studies. 15 (7). 39-77.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2007). On p-adic Gibbs measures of the countable state Potts model on the Cayley tree.. Nonlinearity. 20 (12). 2923-2937.
Status: Publicerad
Khrennikov, A. (2007). Prequantum classical statistical field theory: Time scale of fluctuations.. Doklady Mathematics. 75 (3). 456-459.
Status: Publicerad
Khrennikov, A. (2007). Quantum mechanics as an approximation of statistical mechanics for classical fields.. Rep. Math. Phys.. 60 (3). 453-484.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2007). Compatibility and Marginality.. Int. J. Theor. Phys.. 46 (5). 1083-1095.
Status: Publicerad
Khrennikov, A. (2007). Distributions on adeles.. Journal of Mathematical Sciences. 142 (N 3). 2105-2112.
Status: Publicerad
Khrennikov, A. (2007). Genetic code on the diadic plane. Physica A : Statistical Mechanics and its Applications. 381. 265-272.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2007). Can Quantum Information be Processed by Macroscopic Systems?. Quantum Information Processing. 6 (6). 401-429.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2007). p-Adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces.. Doklady Mathematics. 76 (1). 539-543.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2007). Toward an adequate mathematical model of mental space: Conscious/unconscious dynamics on m-adic trees.. Biosystems. 90 (3). 656-675.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2007). Quantumlike representation of extensive form games: Probabilistic aspects.. Journal of Mathematical Physics. 48. 072107 (artikeln nummer).
Status: Publicerad
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: Publicerad
Khrennikov, A. (2007). Linear fractional p-adic and adelic dynamical systems.. Rep. Math. Phys.. 60 (1). 55-68.
Status: Publicerad
Khrennikov, A. (2006). Classical representation of quantum means and quantum dynamics. Doklady Mathematics. 73 (N 3). 445-448.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2006). Nonstationary Kolmogorov probability models describing quantum measurements. Doklady. 73 (N 2). 286-291.
Status: Publicerad
Khrennikov, A. (2006). Representation Theorem of Observables on a Quantum System.. International Journal of Theoretical Physics. 45 (N 3). 469-482.
Status: Publicerad
Khrennikov, A. (2006). Associated homogeneous p-adic distributions. Journal of Mathematical Analysis and Applications. 313. 64-83.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2006). Ultrametric random field.. Infinite Dimensional Analysis Quantum Probability Related Topics. 9 (N2). 199.
Status: Publicerad
Khrennikov, A. (2006). Quantum-like brain: ``Intereference of minds.''. BioSystems. 84. 225-241.
Status: Publicerad
Khrennikov, A. (2006). Nonlinear Schrödinger equations from prequantum classical statistical field theory. Physics Letters A. 357 (N 3). 171-176.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2006). Localization in space for a free particle in ultrametric quantum mechanics.. Doklady Mathematics. 74 (N3). 906-909.
Status: Publicerad
Khrennikov, A. (2006). Distributional aymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems. Asymptotic Analysis. 46(2),. 163-187.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A. (2006). Logical approach to p-adic probabilities. Bulletin of the Section of Logic. 35/1. 49-57.
Status: Publicerad
Khrennikov, A. (2006). Quantum equilibria for macroscopic systems. Journal of Physics A: Mathematical and General. 39. 8461-8475.
Status: Publicerad
Khrennikov, A. (2006). Von Neumann uniqueness theorem doesn't hold in hyperbolic quantum Mechanics. International Journal of Theoretical Physics. 45 (10). 1869-1890.
Status: Publicerad
Khrennikov, A. (2006). Tauberian theorems for p-adic distributions. Integral Transforms and Special Functions. 17 (N 02-03). 141.
Status: Publicerad
Khrennikov, A., Kozyrev, S. (2005). Contextual quantization and the principle of complementarity of Probabilities. Open systems & information dynamics. 12 (3). 303-318.
Status: Publicerad
Khrennikov, A. (2005). Hyperbolic quantum mechanics. Doklady Akademii Nauk. 402 (2). 170-172.
Status: Publicerad
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: Publicerad
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: Publicerad
Albeverio, S., Khrennikov, A., Shelkovich, V. (2005). p-adic Colombeau-Egorov type theory of generalized functions. Mathematische Nachrichten. 278 (1-2). 3-16.
Status: Publicerad
Khrennikov, A. (2005). Representation of the contextual statistical model by hyperbolic amplitudes. Journal of Mathematical Physics. 46 (6).
Status: Publicerad
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: Publicerad
Khrennikov, A., Kozyrev, V. (2005). Wavelets on ultrametric spaces. Applied and Computational Harmonic Analysis. 19 (1). 61-67.
Status: Publicerad
Khrennikov, A. (2005). Interference in the classical probabilistic framework.. Fuzzy sets and systems (Print). 155. 4-17.
Status: Publicerad
Kozyrev, S., Khrennikov, A. (2005). Pseudodifferential operators on ultrametric space and ultrametric wavelets. Izvestiya. Mathematics. 69. 989-1003.
Status: Publicerad
Khrennikov, A. (2005). Schrödinger dynamics as the Hilbert space projection of a realistic contextual probabilistic dynamics.. Europhysics letters. 69 (5). 678-684.
Status: Publicerad
Khrennikov, A. (2005). Interference in the classical probabilistic model and its representation in complex Hilbert space. Physica E. 29 (1-2). 226-236.
Status: Publicerad
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: Publicerad
Khrennikov, A. (2005). A pre-quantum classical statistical model with infinite-dimensional phase space. Journal of Physics A : Mathematical and General. 38 (9051).
Status: Publicerad
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: Publicerad
Allahverdyan, A., Khrennikov, A., Nieuwenhuizen, T.M. (2005). Brownian entanglement. Physical Review A. Atomic, Molecular, and Optical Physics. 72. 032102.
Status: Publicerad
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: Publicerad
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: Publicerad
Khrennikov, A., Smolyanov, O. (2005). Probabilistic measurement models with noncommuting and commuting observables. Doklady Akademii Nauk. 6. 748-753.
Status: Publicerad
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: Publicerad
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: Publicerad

Artikel i tidskrift (Övrigt vetenskapligt)

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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
Baladron, C., Khrennikov, A., Yamato, I. (2017). Editorial. Progress in Biophysics and Molecular Biology. 130. 1-1.
Status: Publicerad
Haven, E., Khrennikov, A. (2017). Editorial: Applications of Quantum Mechanical Techniques to Areas Outside of Quantum Mechanics. Frontiers in Physics. 5.
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
D'ariano, G.M., Jaeger, G., Khrennikov, A., Plotnitsky, A. (2014). Preface. Physica Scripta. T163.
Status: Publicerad
Khrennikov, A., Haven, E. (2013). Physics goes social : how behaviour obeys quantum logic. New scientist (1971). 219 (2924). 26-27.
Status: Publicerad
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: Publicerad
Bengtsson, I., Khrennikov, A. (2011). Preface. Foundations of physics. 41 (3). 281-281.
Status: Publicerad
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: Publicerad
Khrennikov, A., Nanasiova, O., Pap, E. (2005). Measures and Conditioning. Fuzzy sets and systems (Print). 155. 1-3.
Status: Publicerad

Artikel, forskningsöversikt (Refereegranskat)

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: Publicerad
Khrennikov, A. (2022). Contextuality, Complementarity, Signaling, and Bell Tests. Entropy. MDPI. 24 (10).
Status: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad
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: Publicerad

Bok (Refereegranskat)

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.

Bok (Övrigt vetenskapligt)

Khrennikov, A. (2020). Social Laser : Wapen of masdestruction of 21st century. Moscow, Rideiro.

Kapitel i bok, del av antologi (Refereegranskat)

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.
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.
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.
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.
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.
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., 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.

Kapitel i bok, del av antologi (Övrigt vetenskapligt)

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.
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.
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.

Kapitel i bok, del av antologi (Övrigt (populärvetenskap, debatt))

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.

Konferensbidrag (Refereegranskat)

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.
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.
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. (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.
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.
Khrennikov, A. (2014). Classical probability model for Bell inequality. . Article ID: 012019.
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.
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). 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.
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). 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). Quantum mechanics from statistical mechanics of classical fields. J. Phys.: Conf. Ser.. 1-21.
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. (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. (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). 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. (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. (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. (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., Bulinski, A. (2005). NTCP model under weak dependence conditions. Transactions of XXV International Seminar on Stability for Stochastic Models. 79-88.
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.
Khrennikov, A. (2005). Reconstruction of quantum theory on the basis of the formula of total probability. Foundations of probability and physics---3. 187-218.

Proceedings (redaktörskap) (Refereegranskat)

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.

Proceedings (redaktörskap) (Övrigt (populärvetenskap, debatt))

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.

Samlingsverk (redaktörskap) (Refereegranskat)

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.

Samlingsverk (redaktörskap) (Övrigt vetenskapligt)

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.

Andrei Khrennikov

Växjökonferensen inom kvantteori

Social Laser in Action: from Color Revolutions to Brexit and Donald Trump

Kvantpartiklar håller mystisk kontakt – trots stora avstånd

Mina forskargrupper

Mina pågående forskningsprojekt

Publikationer

Artikel i tid­skrift (Referee­granskat)

Artikel i tid­skrift (Övrigt veten­skapligt)

Artikel, forsknings­översikt (Referee­granskat)

Bok (Referee­granskat)

Bok (Övrigt veten­skapligt)

Kapitel i bok, del av antologi (Referee­granskat)

Kapitel i bok, del av antologi (Övrigt veten­skapligt)

Kapitel i bok, del av antologi (Övrigt (populär­vetenskap, debatt))

Konferens­bidrag (Referee­granskat)

Konferens­bidrag (Övrigt veten­skapligt)

Konferens­bidrag (Övrigt (populär­vetenskap, debatt))

Patent (Övrigt (populär­vetenskap, debatt))

Proceedings (redaktörskap) (Referee­granskat)

Proceedings (redaktörskap) (Övrigt (populär­vetenskap, debatt))

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Samlings­verk (redaktör­skap) (Övrigt veten­skapligt)