Mahler coefficients of 1-Lipschitz measure-preserving functions on ℤp

DOI10.1142/S1793042120500645zbMath1455.11160OpenAlexW2997444245MaRDI QIDQ3295468

Nacima Memić

Publication date: 10 July 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500645

zbMATH Keywords

\(p\)-adic integersMahler coefficients\(1\)-Lipschitz functionsmeasure-preserving functions

Mathematics Subject Classification ID

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

Related Items (6)

On the bijective colouring of Cantor trees based on transducers ⋮ A new class of \(p\)-adic Lipschitz functions and multidimensional Hensel's lemma ⋮ The p-adic Theory of Automata Functions ⋮ Mahler coefficients of some 3-adic ergodic functions ⋮ Shadowing and stability in \(p\)-adic dynamics ⋮ Ergodic functions over \(Z_p\)

Cites Work

• Measure-preservation criteria for a certain class of 1-Lipschitz functions on \(\mathbb Z_p\) in Mahler's expansion
• Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis
• Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler's expansion
• Applied algebraic dynamics
• Minimal polynomial dynamics on the set of 3-adic integers
• Binomial Coefficients Modulo a Prime

This page was built for publication: Mahler coefficients of 1-Lipschitz measure-preserving functions on ℤp