Open AccessMathematicsPhysicsBiology

B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov

2017.5.12P-Adic Numbers Ultrametric Analysis and Applications

DOI: 10.1134/s2070046617020017

tlooto Summary

A brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade, mainly paid to developments with promising future prospects.

Abstract

Abstractp-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.

Citation format

DRAGOVICH, B., et al. $P$-adic mathematical physics: The first 30 years [preprint]. arXiv, 2017. arXiv:1705.04758.