Pointwise theorems for amenable groups

Author:
Elon Lindenstrauss

Journal:
Electron. Res. Announc. Amer. Math. Soc. **5** (1999), 82-90

MSC (1991):
Primary 28D15

Published electronically:
June 30, 1999

MathSciNet review:
1696824

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Elon Lindenstrauss**

Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel

Email:
elon@math.huji.ac.il

DOI:
http://dx.doi.org/10.1090/S1079-6762-99-00065-7

Keywords:
Amenable groups,
pointwise convergence,
ergodic theorems

Received by editor(s):
January 18, 1999

Published electronically:
June 30, 1999

Additional Notes:
The author would like to thank the Clore Foundation for its support.

Communicated by:
Yitzhak Katznelson

Article copyright:
© Copyright 1999
American Mathematical Society