On p-adic mathematical physics
On p-adic mathematical physics | p-Adic Numbers, Ultrametric Analysis and Applications Skip
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p-Adic mathematical physics: the first 30 years
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 …
the application of p-adic mathematical methods in modeling physical and related …
Modeling fluid's dynamics with master equations in ultrametric spaces representing the treelike structure of capillary networks
A Khrennikov, K Oleschko, MJ Correa Lopez - Entropy, 2016 - mdpi.com
We present a new conceptual approach for modeling of fluid flows in random porous media
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
Ultrametric diffusion, rugged energy landscapes and transition networks
WA Zuniga-Galindo - Physica A: Statistical Mechanics and its Applications, 2022 - Elsevier
In this article we introduce the ultrametric networks which are p-adic continuous analogs of
the standard Markov state models constructed using master equations. A p-adic transition …
the standard Markov state models constructed using master equations. A p-adic transition …
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 …
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 …
applications in physics and molecular biology. Although the basic definitions are given in the …
Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
AY Khrennikov, SV Kozyrev - Physica A: Statistical Mechanics and its …, 2006 - Elsevier
Replica symmetry breaking related to a general ultrametric space I: Replica matrices and
functionals - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …
functionals - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …
[HTML][HTML] Reaction-diffusion equations on complex networks and Turing patterns, via p-adic analysis
WA Zúñiga-Galindo - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
Nakao and Mikhailov proposed using continuous models (mean-field models) to study
reaction-diffusion systems on networks and the corresponding Turing patterns. This work …
reaction-diffusion systems on networks and the corresponding Turing patterns. This work …
On p-adic Gibbs measures of the countable state Potts model on the Cayley tree
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 …
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 …
model, called generalized p-adic quasi Gibbs measure. For such a model, we derive a …