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] Mathematical aspects of logic programming semantics

P Hitzler, A Seda - 2011 - library.oapen.org
Covering the authors' own state-of-the-art research results, this book presents a rigorous,
modern account of the mathematical methods and tools required for the semantic analysis of …

EEG-based spatio-temporal relation signatures for the diagnosis of depression and schizophrenia

O Shor, A Yaniv-Rosenfeld, A Valevski, A Weizman… - Scientific Reports, 2023 - nature.com
The diagnosis of psychiatric disorders is currently based on a clinical and psychiatric
examination (intake). Ancillary tests are used minimally or only to exclude other disorders …

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 …

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 …

p-Adic modelling of the genome and the genetic code

B Dragovich, A Dragovich - The Computer Journal, 2010 - ieeexplore.ieee.org
This paper presents the foundations of p-adic modelling in genomics. Considering
nucleotides, codons, DNA and RNA sequences, amino acids and proteins as information …

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 …

Generalized distance functions in the theory of computation

AK Seda, P Hitzler - The Computer Journal, 2010 - ieeexplore.ieee.org
We discuss a number of distance functions encountered in the theory of computation,
including metrics, ultra-metrics, quasi-metrics, generalized ultra-metrics, partial metrics, d …

p-Adic hierarchical properties of the genetic code

B Dragovich, NŽ Mišić - Biosystems, 2019 - Elsevier
In this article, we consider p-adic modeling of the standard genetic code and the vertebrate
mitochondrial one. To this end, we use 5-adic and 2-adic distance as a mathematical tool to …