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ISSN 1079-6762

 

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: 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
PII: S 1079-6762(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