Andrei Yurievich Khrennikov and his research. (English) Zbl 1420.81005

Summary: This paper contains a brief review of a very diverse and vast scientific work of Andrei Yurievich Khrennikov on the occasion of his 60th birthday.


81P05 General and philosophical questions in quantum theory
60A10 Probabilistic measure theory
12H25 \(p\)-adic differential equations
00A79 Physics
01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Khrennikov, Andrei Yurievich
Full Text: DOI


[1] A. Yu. Khrennikov, S. V. Kozyrev and W. A. Zúñiga-Galindo, Ultrametric Pseudodifferential Equations and Applications, Encyclopedia of Mathematics and its Applications (Cambridge Univ. Press, Cambridge, 2018). · Zbl 1397.35350
[2] E. Haven, A. Khrennikov and T. R. Robinson, Quantum Methods in Social Science: A First Course (WSP, Singapore, 2017).
[3] A. Khrennikov, Probability and Randomness: Quantum Versus Classical (Imperial College Press, 2016). · Zbl 1348.81003
[4] M. Asano, A. Khrennikov, M. Ohya, Y. Tanaka and I. Yamato, Quantum Adaptivity in Biology: from Genetics to Cognition (Springer, Heidelberg-Berlin-New York, 2015). · Zbl 1402.92005
[5] A. Khrennikov, Beyond Quantum (Pan Stanford Publ., Singapore, 2014). · Zbl 1294.81008
[6] E. Haven and A. Khrennikov, Quantum Social Science (Cambridge Press, Cambridge, 2013). · Zbl 1281.91130
[7] A. Khrennikov, Ubiquitous Quantum Structure: from Psychology to Finances (Springer, Berlin-Heidelberg-New York, 2010). · Zbl 1188.91002
[8] S. Albeverio, A. Khrennikov and V. Shelkovich, Theory of p-Adic Distributions: Linear and Nonlinear Models (Oxford University Press, Oxford, 2010). · Zbl 1198.46001
[9] V. Anashin and A. Khrennikov, Applied Algebraic Dynamics (De Gruyter, Berlin, 2009). · Zbl 1184.37002
[10] A. Khrennikov, Interpretations of Probability, second edition (De Gruyter, Berlin, 2009). · Zbl 1369.81014
[11] A. Khrennikov, Contextual Approach to Quantum Formalism (Springer, Berlin-Heidelberg-New York, 2009). · Zbl 1176.81001
[12] A. Khrennikov, Introduction to Quantum Information Theory (Nauka, Fizmatlit, Moscow, 2008) [in Russian].
[13] A. Khrennikov and M. Nilsson, p-adic deterministic and random dynamical systems (Kluwer-Springer, Dordrecht, 2004).
[14] A. Khrennikov, Modeling of Processes of Thinking in p-Adic Coordinates (Nauka, Fizmatlit, Moscow, 2004) [in Russian].
[15] A. Khrennikov, Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena, Ser.: Fundamental Theories of Physics (Kluwer, Dordrecht, 2004). · Zbl 1175.91151
[16] A. Khrennikov, Non-Archimedean Analysis and its Applications (Nauka, Fizmatlit, Moscow, 2003) [in Russian]. · Zbl 1104.46047
[17] A. Khrennikov, Non-Kolmogorovian Theories of Probability and Quantum Physics (Nauka, Fizmatlit, Moscow, 2003) [in Russian].
[18] A. Khrennikov, Classical and Quantum Mental Models and Freud’s Theory of Unconscious Mind, Ser.: Mathematical Modelling in Physics, Engineering and Cognitive Sciences, 1 (VäxjöUniv. Press, Växjö, 2002).
[19] A. Khrennikov, Interpretations of Probability (VSP Int. Sci. Publishers, Utrecht/Tokyo, 1999). · Zbl 0998.81508
[20] A. Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (Kluwer, Dordrecht, 1997). · Zbl 0920.11087
[21] A. Khrennikov, Supernalysis (Nauka, Fizmatlit, Moscow, 1997) [in Russian]. English translation (Kluwer, Dordrecht, 1999).
[22] A. Khrennikov, p-Adic Valued Distributions in Mathematical Physics (Kluwer, Dordrecht, 1994). · Zbl 0833.46061
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