On p-adic mathematical physics

B Dragovich, AY Khrennikov, SV Kozyrev… - P-Adic Numbers …, 2009 - Springer
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p-Adic mathematical physics: the first 30 years

B Dragovich, AY Khrennikov, SV Kozyrev… - P-Adic numbers …, 2017 - Springer
Abstract 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 …

[图书][B] Theory of p-adic distributions: linear and nonlinear models

S Albeverio, VM Shelkovich - 2010 - books.google.com
" This is the first book devoted to the theory of p-adic wavelets and pseudo-differential
equations in the framework of distribution theory. This relatively recent theory has become …

Towards unification of general relativity and quantum theory: Dendrogram representation of the event-universe

O Shor, F Benninger, A Khrennikov - Entropy, 2022 - mdpi.com
Following Smolin, we proceed to unification of general relativity and quantum theory by
operating solely with events, ie, without appealing to physical systems and space-time. The …

Dendrographic hologram theory: Predictability of relational dynamics of the event universe and the emergence of time arrow

O Shor, F Benninger, A Khrennikov - Symmetry, 2022 - mdpi.com
Recently we started the development of Dendrographic Hologram Theory (DH-theory). It is
based on the novel mathematical representation of the relational event universe (in the spirit …

Genetic code on the diadic plane

AY Khrennikov, SV Kozyrev - Physica A: Statistical Mechanics and its …, 2007 - Elsevier
We introduce the simple parametrization for the space of codons (triples of nucleotides) by
8× 8 table. This table (which we call the diadic plane) possesses the natural 2-adic …

On Dynamical Systems and Phase Transitions for q + 1-state p-adic Potts Model on the Cayley Tree

F Mukhamedov - Mathematical Physics, Analysis and Geometry, 2013 - Springer
In the present paper, we study a new kind of p-adic measures for q+ 1-state Potts model,
called p-adic quasi Gibbs measure. For such a model, we derive a recursive relations with …

Methods and applications of ultrametric and p-adic analysis: From wavelet theory to biophysics

SV Kozyrev - Proceedings of the Steklov Institute of Mathematics, 2011 - Springer
This paper is devoted to new methods of p-adic and ultrametric analysis and their
applications in physics and molecular biology. Although the basic definitions are given in the …

p-adic statistical field theory and deep belief networks

WA Zúñiga-Galindo - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
In this work we initiate the study of the correspondence between p-adic statistical field
theories (SFTs) and neural networks (NNs). In general quantum field theories over a p-adic …

p-Adic mathematics and theoretical biology

B Dragovich, AY Khrennikov, SV Kozyrev, NŽ Mišić - Biosystems, 2021 - Elsevier
The principal objective of this article is a brief overview of the main parts of p-adic
mathematics, which have already had valuable applications and may have a significant …