Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation

DOI10.1007/s11854-022-0226-3OpenAlexW3014504671WikidataQ113899791 ScholiaQ113899791MaRDI QIDQ2680335

Tomasz Downarowicz, Joseph Vandehey, Vitaly Bergelson

Publication date: 29 December 2022

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02811

zbMATH Keywords

amenable semigroupFølner sequenceKamae-Weiss theoremnormality preservation

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Representation of semigroups; actions of semigroups on sets (20M30) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (2)

On arithmetic functions orthogonal to deterministic sequences ⋮ Strong proximality for discontinuous skew-product actions of amenable semigroups

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