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Pointwise theorems for amenable groups
Author(s):
Elon
Lindenstrauss
Journal:
Electron. Res. Announc. Amer. Math. Soc.
5
(1999),
82-90.
MSC (1991):
Primary 28D15
Posted:
June 30, 1999
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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:
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
Posted:
June 30, 1999
Additional Notes:
The author would like to thank the Clore Foundation for its support.
Communicated by:
Yitzhak Katznelson
Copyright of article:
Copyright
1999,
American Mathematical Society
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