Ergodicity criteria for non-expanding transformations of 2-adic spheres

DOI10.3934/dcds.2014.34.367zbMath1317.37115arXiv1205.0615OpenAlexW2044171829MaRDI QIDQ379710

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

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0615

zbMATH Keywords

ergodic theory1-Lipschitz2-adic spherevan der Put series

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items

The p-adic Theory of Automata Functions ⋮ Ergodic polynomials on subsets of \(p\)-adic integers ⋮ Ergodic functions over \(\mathbb{F}_q T\) ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ 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 ergodic transformations on the sphere of 2-adic units ⋮ $ p$-adic Brownian motion ⋮ On some compatible functions on the set of 3-adic integers ⋮ Orbit equivalence of \(p\)-adic transformations and their iterates ⋮ Minimality of \(p\)-adic rational maps with good reduction ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems ⋮ Shadowing and stability in \(p\)-adic dynamics ⋮ Parity sequences of the 3x+1 map on the 2-adic integers and Euclidean embedding ⋮ \(p\)-adic (3, 2)-rational dynamical systems ⋮ The uniform distribution of sequences generated by iterated polynomials ⋮ Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\) ⋮ Ergodic functions over \(Z_p\) ⋮ On perturbed monomials on 2-adic spheres around 1 ⋮ Characterization of ergodic rational functions on the set of 2-adic units

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