Pointwise theorems for amenable groups
Author:
Elon Lindenstrauss
Journal:
Electron. Res. Announc. Amer. Math. Soc. 5 (1999), 82-90
MSC (1991):
Primary 28D15
DOI:
https://doi.org/10.1090/S1079-6762-99-00065-7
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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- W. R. Emerson, The pointwise ergodic theorem for amenable groups, American Journal of Mathematics 96 (1974), no. 3, 472–478.
- W. R. Emerson and F. P. Greenleaf, Groups structure and the pointwise ergodic theorem for connected amenable groups, Advances in Math. 14 (1974), 153–172.
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Additional Information
Elon Lindenstrauss
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel
MR Author ID:
605709
Email:
elon@math.huji.ac.il
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
