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

Anashin, V. S.; Dragovich, B.; Kochubei, A. N.; Kozyrev, S. V.; Volovich, I. V.

\(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 344-347 (2018).

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.

MSC:

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

Keywords:

Andrei Yu. Khrennikov; \(p\)-adic and ultrametric analysis; superanalysis; mathematical models; \(p\)-adic dynamical models; probability theory; foundations of quantum mechanics; quantum-like models; \(p\)-adic modeling of cognitive and biological processes

References:

[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