Pointwise theorems for amenable groups

Elon Lindenstrauss

doi:10.1090/S1079-6762-99-00065-7

Pointwise theorems for amenable groups

Elon Lindenstrauss^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

34 Scopus citations

Abstract

In this paper we describe proofs of the pointwise ergodic theorem and Shannon-McMillan-Breiman theorem for discrete amenable groups, along Følner sequences that obey some restrictions. These restrictions are mild enough so that such sequences exist for all amenable groups.

Original language	English
Pages (from-to)	82-90
Number of pages	9
Journal	Electronic Research Announcements of the American Mathematical Society
Volume	5
Issue number	12
DOIs	https://doi.org/10.1090/S1079-6762-99-00065-7
State	Published - 30 Jun 1999

Keywords

Amenable groups
Ergodic theorems
Pointwise convergence

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10.1090/S1079-6762-99-00065-7

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AB - In this paper we describe proofs of the pointwise ergodic theorem and Shannon-McMillan-Breiman theorem for discrete amenable groups, along Følner sequences that obey some restrictions. These restrictions are mild enough so that such sequences exist for all amenable groups.

KW - Amenable groups

KW - Ergodic theorems

KW - Pointwise convergence

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Pointwise theorems for amenable groups

Abstract

Keywords

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