On ergodicity of \(p\)-adic dynamical systems for arbitrary prime \(p\)

DOI10.1134/S2070046613030072zbMath1302.37063OpenAlexW2164766509MaRDI QIDQ2440384

Ekaterina I. Yurova

Publication date: 18 March 2014

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046613030072

zbMATH Keywords

ergodicity\(p\)-adic numbers1-Lipschitz \(p\)-adic functions

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items

Ergodic polynomials on subsets of \(p\)-adic integers, Remarks on ultrametrics and metric-preserving functions, Orbit equivalence of \(p\)-adic transformations and their iterates, Generalization of Hensel's lemma: finding the roots of \(p\)-adic Lipschitz functions, On recent results of ergodic property for \(p\)-adic dynamical systems, Dynamics of the square mapping on the ring of 𝑝-adic integers

Cites Work

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• Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis
• Applied algebraic dynamics
• Minimal polynomial dynamics on the set of 3-adic integers