p-Adic mathematical physics: the first 30 years
B. DragovichInstitute of Physics, University of Belgrade, 11080, Belgrade, SerbiaA. Yu. KhrennikovInternational Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science, Linnaeus University, S-35195, Växjö, SwedenS. V. KozyrevSteklov Mathematical Institute of the Russian Academy of Sciences, Gubkina Str. 8, Moscow, 119991, RussiaI. V. VolovichSteklov Mathematical Institute of the Russian Academy of Sciences, Gubkina Str. 8, Moscow, 119991, RussiaE. I. ZelenovSteklov Mathematical Institute of the Russian Academy of Sciences, Gubkina Str. 8, Moscow, 119991, Russia
2017en
ABI
Аннотация
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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