Ergodicity of dynamical systems on 2-adic spheres
type: Item
instance of: scholarly article
title: Ergodicity of dynamical systems on 2-adic spheres
zbMATH Open document ID: 1261.37002
DOI: 10.1134/S1064562412060312
published in: Doklady Mathematics
publication date: 2013-04-03T00:00:00Z
review text: In this paper, a technique based on the expansion coefficients with respect to the van der Put basis is applied to the study of dynamical systems on \(2\)-adic spheres defined on the field of \(p\)-adic numbers. The authors solve the problem of the stability of the ergodicity condition for nonsmooth perturbations of monomial dynamical systems.
reviewed by: Masataka Kanki
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 37P20
zbMATH DE Number: 6149498
zbMATH Keywords: p-adic dynamical system
zbMATH Keywords: ergodicity
zbMATH Keywords: van der Put series
author: Vladimir Anashin
author: Andrei Khrennikov
author: Ekaterina Yurova
MaRDI profile type: Publication
cites work: Q3597514
cites work: On \(p\)-adic mathematical physics
cites work: Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls
cites work: ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS
cites work: Characterization of ergodicity of \(p\)-adic dynamical systems by using the van der Put basis
cites work: Q4003879
full work available at URL: s1064562412060312
OpenAlex ID: W1963897180
description: scientific article; zbMATH DE number 6149498