Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler's expansion

DOI10.1134/S2070046618030044zbMath1425.26022OpenAlexW2885472599MaRDI QIDQ2317197

Sangtae Jeong

Publication date: 8 August 2019

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

Full work available at URL: https://doi.org/10.1134/s2070046618030044

zbMATH Keywords

\(p\)-adic integersMahler basis1-Lipschitzvan der Put basismeasure-preserving

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean analysis (26E30) Arithmetic and non-Archimedean dynamical systems (37P99)

Related Items

A new class of \(p\)-adic Lipschitz functions and multidimensional Hensel's lemma ⋮ The p-adic Theory of Automata Functions ⋮ Mahler coefficients of 1-Lipschitz measure-preserving functions on ℤp ⋮ Mahler coefficients of uniformly differentiable functions modulo p ⋮ Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\) ⋮ Ergodic functions over \(Z_p\)

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