Outdated Archival Version

These pages are not updated anymore. They reflect the state of 20 August 2005. For the current production of this journal, please refer to http://www.math.psu.edu/era/.

This journal is archived by the American Mathematical Society. The master copy is available at http://www.ams.org/era/

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

Copyright 1999 American Mathematical Society

TeX source (26.8K)
DVI (39K)
PostScript (135.9K)

Article Info

• ERA Amer. Math. Soc. 05 (1999), pp. 82-90
• Publisher Identifier: S 1079-6762(99)00065-7
• 1991 Mathematics Subject Classification. Primary 28D15
• Key words and phrases. Amenable groups, pointwise convergence, ergodic theorems
• Received by the editors January 18, 1999
• Posted on June 30, 1999
• Communicated by Yitzhak Katznelson
• Comments (When Available)

Elon Lindenstrauss

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

E-mail address: elon@math.huji.ac.il

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