On the sub-coordinate representation of 𝑝-adic functions

DOI10.1090/conm/704/14173zbMath1437.11160OpenAlexW2794482875MaRDI QIDQ4685939

Ekaterina Yurova Axelsson

Publication date: 9 October 2018

Published in: Advances in Ultrametric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/704/14173

zbMATH Keywords

Lipschitz functionp-adicHensel's lifting lemma

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems (37P99)

Cites Work

• Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions
• Generalization of Hensel's lemma: finding the roots of \(p\)-adic Lipschitz functions
• Characterization of ergodicity of \(p\)-adic dynamical systems by using the van der Put basis
• Uniformly distributed sequences of \(p\)-adic integers
• Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis
• Applied algebraic dynamics
• T-functions revisited: new criteria for bijectivity/transitivity
• Ergodic Transformations in the Space of p-Adic Integers
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