The Shannon-McMillan-Breiman theorem for a class of amenable groups

Donald Ornstein; Benjamin Weiss

doi:10.1007/BF02763171

The Shannon-McMillan-Breiman theorem for a class of amenable groups

Donald Ornstein^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

72 Scopus citations

Abstract

We prove the SMB theorem for amenable groups that possess Følner sets {A_n} with the property that for some constant M, and all, n, | A(Formula presented.)A_n| ≦M· |A_n|.

Original language	English
Pages (from-to)	53-60
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1007/BF02763171
State	Published - Mar 1983

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abstract = "We prove the SMB theorem for amenable groups that possess F{\o}lner sets {An} with the property that for some constant M, and all, n, | A(Formula presented.)An| ≦M· |An|.",

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The Shannon-McMillan-Breiman theorem for a class of amenable groups

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