Notes on ergodic \(2\)-adic transformations

DOI10.1134/S2070046620040044zbMath1458.37111OpenAlexW3105333790WikidataQ114074755 ScholiaQ114074755MaRDI QIDQ2220950

Nacima Memić

Publication date: 25 January 2021

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

Full work available at URL: https://doi.org/10.1134/s2070046620040044

zbMATH Keywords

ergodic transformations\(2\)-adic integers

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) (p)-adic theory (11E95) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Relations between ergodic theory and number theory (37A44)

Related Items (2)

On ergodic transformations on the sphere of 2-adic units ⋮ Dynamics of some 2-adic isometric transformations

Cites Work

• Unnamed Item
• Characterization of ergodicity of \(p\)-adic dynamical systems by using the van der Put basis
• Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series
• van der Put basis and \(p\)-adic dynamics
• Digraph representations of rational functions over the \(p\)-adic numbers
• Uniformly distributed sequences of \(p\)-adic integers
• Strict ergodicity of affine \(p\)-adic dynamical systems on \(\mathbb Z_p\)
• Applied algebraic dynamics
• T-functions revisited: new criteria for bijectivity/transitivity
• Minimal polynomial dynamics on the set of 3-adic integers

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