The Shannon-McMillan-Breiman theorem beyond amenable groups

DOI10.1215/00192082-9501550OpenAlexW2574931970MaRDI QIDQ2073250

Amos Nevo, Felix Pogorzelski

Publication date: 1 February 2022

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

Full work available at URL: https://arxiv.org/abs/1701.03965

zbMATH Keywords

probability spacescountable groupsmeasure-preserving actionsisomorphism-invariant notion of entropyorbital Rokhlin entropy

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (2)

Fiber entropy and algorithmic complexity of random orbits ⋮ Shannon-McMillan-Breiman theorem along almost geodesics in negatively curved groups

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