Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation
type: Item
instance of: scholarly article
title: Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation
author: T. Downarowicz
author: Joseph Vandehey
author: V. Bergelson
published in: Journal d'Analyse Mathématique
publication date: 2022-12-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/2004.02811
Mathematics Subject Classification ID: 37A20
Mathematics Subject Classification ID: 20M30
Mathematics Subject Classification ID: 28B10
zbMATH DE Number: 7637556
zbMATH Keywords: Kamae-Weiss theorem
zbMATH Keywords: normality preservation
zbMATH Keywords: amenable semigroup
zbMATH Keywords: Følner sequence
Wikidata QID: Q113899791
MaRDI profile type: Publication
OpenAlex ID: W3014504671
cites work: A Dynamical Point of View on the Set ofℬ-Free Integers
cites work: Periodicity, repetitions, and orbits of an automatic sequence
cites work: Flows on some three dimensional homogeneous spaces
cites work: A fresh look at the notion of normality
cites work: Distribution of values of bounded generalized polynomials
cites work: Joint ergodicity along generalized linear functions
cites work: A Hot Spot Proof of the Generalized Wall Theorem
cites work: Filters and the Weak Almost Periodic Compactification of a Discrete Semigroup
cites work: Q4210476
cites work: Ergodic properties of \(k\)-free integers in number fields
cites work: Q3848243
cites work: Uniform tag sequences
cites work: Note on normal numbers
cites work: Applications of almost periodic compactifications
cites work: Q3077968
cites work: Shearer's inequality and infimum rule for Shannon entropy and topological entropy
cites work: Symbolic Extensions of Amenable Group Actions and the Comparison Property
cites work: Entropy theory without a past
cites work: Tilings of amenable groups
cites work: Possible entropy functions
cites work: Distral transformation groups
cites work: Minimal models for actions of amenable groups
cites work: The Structure of Distal Flows
cites work: Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
cites work: Automatic sequences
cites work: Subsequences of normal sequences
cites work: Combinatorial independence and sofic entropy
cites work: Topological dynamics in coset transformation groups
cites work: A Study of the Proximal Relation in Coset Transformation Groups
cites work: Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
cites work: Nilsequences, null-sequences, and multiple correlation sequences
cites work: Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques
cites work: NOTE ON AN ASYMPTOTIC FORMULA CONNECTED WITH r-FREE INTEGERS
cites work: Q5589087
cites work: Q4040376
cites work: Entropy and diffraction of the \(k\)-free points in \(n\)-dimensional lattices
cites work: Nombres normaux et processus déterministes
cites work: Q5736551
cites work: Q5163843
cites work: Selection rules preserving normality
cites work: Q4937537
DOI: 10.1007/S11854-022-0226-3
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description: scientific article; zbMATH DE number 7637556