Authors: Dragovich, B.
Khrennikov, A. Yu
Kozyrev, S. V.
Volovich, I. V.
Zelenov, E. I.
Title: p-Adic mathematical physics: the first 30 years
Journal: P-Adic Numbers, Ultrametric Analysis, and Applications
Volume: 9
Issue: 2
First page: 87
Last page: 121
Issue Date: 1-Apr-2017
ISSN: 20700466
DOI: 10.1134/S2070046617020017
© 2017, Pleiades Publishing, Ltd. 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.
Keywords: adeles | biological systems | cognitive science | complex systems | cosmology | genetic code | gravity | hierarchy | p-adic mathematical physics | p-adic numbers | p-adic string theory | p-adic wavelets | proteins | quantum theory | stochastic processes | ultrametrics

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