On Herman's theorem for ergodic, amenable group extensions of endomorphisms

Jon Aaronson; Benjamin Weiss

doi:10.1017/S0143385703000713

On Herman's theorem for ergodic, amenable group extensions of endomorphisms

Jon Aaronson^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

For any ergodic endomorphism of a non-atomic probability space and any Borel generating set of a locally compact Polish (LCP) amenable group, we construct a measurable function taking values in the generating set so that the skew product generated is ergodic.

Original language	English
Pages (from-to)	1283-1293
Number of pages	11
Journal	Ergodic Theory and Dynamical Systems
Volume	24
Issue number	5
DOIs	https://doi.org/10.1017/S0143385703000713
State	Published - Oct 2004

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abstract = "For any ergodic endomorphism of a non-atomic probability space and any Borel generating set of a locally compact Polish (LCP) amenable group, we construct a measurable function taking values in the generating set so that the skew product generated is ergodic.",

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On Herman's theorem for ergodic, amenable group extensions of endomorphisms

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