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Andrei Khrennikov

Professor, Subject Representative
Department of Mathematics Faculty of Technology
+46470708790
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Andrei Khrennikov is Professor of Mathematics at the Department of Mathematics at Linnaeus University. Andrei is also director of the research group International Center for Mathematical Modeling (ICMM) and organizer of some 20 conferences in the field of quantum theory at Linnaeus University.

Research

My research activity can be characterized as extensively multi-disciplinary. (Sometimes I am surprised by myself that all these diverse studies covering so different areas of science were done by the same person.) The research activities are split in the basic disciplines: Mathematics, physics, and biology, cognition, psychology and behavioral economics.

Mathematics, pure and applied

  • Infinite-Dimensional Analysis and Feynman Integration
  • Functional Superanalysis
  • P-adic and non-Archimedean Analysis, the Q_p to Q_p
  • P-adic dynamical systems
  • P-adic and Ultrametric Analysis, Wavelets, Distributions, Pseudo-differential Operators, the Q_p to C case;
  • Foundations of Probability Theory

Physics, mathematical and theoretical

  • Quantization of systems with infinite number of degrees of freedom
  • Quantization of p-adic and non-Archimedean physical systems
  • Probabilistic foundations of quantum mechanics and Bell’s inequality
  • Classical random field model of quantum mechanics

Biology, cognition, psychology and behavioral economics

  • Quantum-like models: molecular biology, cognition, psychology, behavioral economics, social science
  • Econophysics: modeling of price dynamics on the basis of expectations of traders of the financial market
  • P-adic dynamical models of cognitive and biological processes

The quantum theory conferences in Växjö

The Växjö series of quantum theory conferences is arranged by ICMM, International Center for Mathematical Modeling in physics, engineering and cognitive sciences, at Linnaeus University in Växjö, Sweden. It is devoted to quantum foundations, information and novel quantum technologies (cryptography, random generators, imaging, computing) and probabilistic foundations. The main point is that quantum mechanics is essentially about a novel representation of probabilistic data and predictions about the results of random experiments.  

This is the longest continuous series of conferences on quantum foundations since the creation of quantum mechanics.  It was started in 2000 and goes on annually. This series was generated by the revolution in quantum information theory at the end of the 20th century.

The series of conferences can be characterized by two distinguishing features:

A). Openness for expression of opinions on the origin or problems of quantum mechanical foundations and their relation to the problems of probability theory and the possible ways of their resolution.

B). Creation of actively interacting mixture of top experts in theory and experiments and even a few philosophers.

From this viewpoint this conference-series is definitely unique. One cannot find anything similar anywhere in the world. At the first stage, I even try to involve pure mathematicians to create knowledge transfer between mathematics and physics.

Publications

Article in journal (Refereed)

Conference paper (Refereed)

Book (Refereed)

Chapter in book (Refereed)

Article, review/survey (Refereed)

Conference proceedings (editor) (Refereed)

Article in journal (Other academic)

Conference paper (Other academic)

Chapter in book (Other academic)

Collection (editor) (Other academic)

Conference paper (Other (popular science, discussion, etc.))

Chapter in book (Other (popular science, discussion, etc.))

Conference proceedings (editor) (Other (popular science, discussion, etc.))