On some classes of 1-Lipschitz measure-preserving ergodic functions on ℤp

DOI10.1142/S1793557122501674zbMath1504.11127OpenAlexW4200109040WikidataQ114071675 ScholiaQ114071675MaRDI QIDQ5876791

Jasmina Muminović Huremović, Nacima Memić

Publication date: 2 February 2023

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122501674

zbMATH Keywords

\(p\)-adic integers1-Lipschitz functionsergodic functionsvan der Put coefficients

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Non-Archimedean dynamical systems (11S82)

Cites Work

• 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
• Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis
• On measure-preserving functions over \(\mathbb Z_3\)
• Dynamics of some 2-adic isometric transformations
• Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\)
• T-functions revisited: new criteria for bijectivity/transitivity
• Ergodic polynomials on subsets of \(p\)-adic integers
• Ergodicity conditions on the group of 3-adic integers
• Minimal polynomial dynamics on the set of 3-adic integers
• On some compatible functions on the set of 3-adic integers
• Mahler coefficients of uniformly differentiable functions modulo p
• Minimality of 5-adic polynomial dynamics

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