p-Adic mathematical physics: the first 30 years


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p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future prospects.

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B. Dragovich

Institute of Physics; Mathematical Institute

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Email: dragovich@ipb.ac.rs
, Belgrade, 11080; Belgrade

A. Khrennikov

International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science; National Research University of Information Technologies, Mechanics and Optics (ITMO)

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Email: andrei.khrennikov@lnu.se
瑞典, Växjö, S-35195; St. Petersburg, 197101

S. Kozyrev

Steklov Mathematical Institute of the Russian Academy of Sciences

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Email: kozyrev@mi.ras.ru
俄罗斯联邦, Gubkina Str. 8, Moscow, 119991

I. Volovich

Steklov Mathematical Institute of the Russian Academy of Sciences

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Email: volovich@mi.ras.ru
俄罗斯联邦, Gubkina Str. 8, Moscow, 119991

E. Zelenov

Steklov Mathematical Institute of the Russian Academy of Sciences

Email: volovich@mi.ras.ru
俄罗斯联邦, Gubkina Str. 8, Moscow, 119991

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