Ergodicity of dynamical systems on 2-adic spheres

DOI10.1134/S1064562412060312zbMath1261.37002OpenAlexW1963897180MaRDI QIDQ1945181

Vladimir S. Anashin, Ekaterina I. Yurova, Andrei Yu. Khrennikov

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412060312

zbMATH Keywords

ergodicityvan der Put seriesp-adic dynamical system

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items

Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions, Subcoordinate representation of $p$-adic functions and generalization of Hensel's lemma, Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points, \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point, On recent results of ergodic property for \(p\)-adic dynamical systems, Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels

Cites Work

• Characterization of ergodicity of \(p\)-adic dynamical systems by using the van der Put basis
• On \(p\)-adic mathematical physics
• Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls
• ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS
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