Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions

DOI10.1016/j.chaos.2014.01.001zbMath1348.37128arXiv1303.6472OpenAlexW1966493342MaRDI QIDQ336108

Ekaterina I. Yurova, Andrei Yu. Khrennikov

Publication date: 10 November 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6472

zbMATH Keywords

ergodicity1-Lipschitz functionsmeasure preserving functions

Mathematics Subject Classification ID

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

Related Items

The p-adic Theory of Automata Functions, \(p\)-adic mathematical physics: the first 30 years, Measuring the preservation and ergodicity of 1-Lipschitz functions on the ring of 3-adic integers in terms of coordinate functions, Subcoordinate representation of $p$-adic functions and generalization of Hensel's lemma, Orbit equivalence of \(p\)-adic transformations and their iterates, Generalization of Hensel's lemma: finding the roots of \(p\)-adic Lipschitz functions, Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree, On recent results of ergodic property for \(p\)-adic dynamical systems, Shadowing and stability in \(p\)-adic dynamics, On the sub-coordinate representation of 𝑝-adic functions, \(p\)-adic (3, 2)-rational dynamical systems, Ergodic functions over \(Z_p\)

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