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 …

[LIBRO][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 …

[LIBRO][B] Ultrametric pseudodifferential equations and applications

AY Khrennikov, SV Kozyrev, WA Zúñiga-Galindo - 2018 - books.google.com
Starting from physical motivations and leading to practical applications, this book provides
an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential …

The Haar wavelet transform of a dendrogram

F Murtagh - Journal of Classification, 2007 - Springer
We describe a new wavelet transform, for use on hierarchies or binary rooted trees. The
theoretical framework of this approach to data analysis is described. Case studies are used …

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 …

On p-adic Gibbs measures of the countable state Potts model on the Cayley tree

AY Khrennikov, FM Mukhamedov, JFF Mendes - Nonlinearity, 2007 - iopscience.iop.org
In this paper we consider the countable state p-adic Potts model on the Cayley tree. A
construction of p-adic Gibbs measures which depends on weights λ is given, and an …

A dynamical system approach to phase transitions for p-adic Potts model on the Cayley tree of order two

F Mukhamedov - Reports on Mathematical Physics, 2012 - Elsevier
In the present paper, we introduce a new kind of p-adic measures for (q+ 1)-state Potts
model, called generalized p-adic quasi Gibbs measure. For such a model, we derive a …

On p-adic Ising–Vannimenus model on an arbitrary order Cayley tree

F Mukhamedov, M Saburov… - Journal of Statistical …, 2015 - iopscience.iop.org
In this paper, we continue an investigation of the p-adic Ising–Vannimenus model on the
Cayley tree of an arbitrary order k (k⩾ 2). We prove the existence of p-adic quasi Gibbs …