Subsequence ergodic theorems for amenable groups

DOI10.1007/BF02764805zbMath0802.28014OpenAlexW2087708218MaRDI QIDQ1802755

Benjamin Weiss, Donald S. Ornstein

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764805

zbMATH Keywords

amenable groupergodic actionFølner sequencesubsequence ergodic theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General groups of measure-preserving transformations (28D15)

Related Items (7)

Cube spaces and the multiple term return times theorem ⋮ van der Corput inequality for real line and Wiener-Wintner theorem for amenable groups ⋮ Return times theorem for amenable groups ⋮ Sub-additive ergodic theorems for countable amenable groups ⋮ Local entropy theory for a countable discrete amenable group action ⋮ Finite uniform generators for ergodic, finite entropy, free actions of amenable groups ⋮ Averaging sequences and modulated ergodic theorems for weakly almost periodic group representations

Cites Work

• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• On the Ergodic Mixing Theorem
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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