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Subsequence ergodic theorems for amenable groups

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Abstract

For amenable groups that have a Følner sequence {A n} satisfying

$$\overline {lim} \left| {A_n^{ - 1} A_n } \right|/\left| {A_n } \right|< + \infty $$

we show that a subsequence ergodic theorem is valid for the visit times to a set of positive measure.

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References

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, California, USA

    Donald Ornstein

  2. Institute of Mathematics, Hebrew University, Jerusalem, Israel

    Benjamin Weiss

Authors
  1. Donald Ornstein
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  2. Benjamin Weiss
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Ornstein, D., Weiss, B. Subsequence ergodic theorems for amenable groups. Israel J. Math. 79, 113–127 (1992). https://doi.org/10.1007/BF02764805

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  • DOI: https://doi.org/10.1007/BF02764805

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