Announce of an entropy formula for a class of actions coming from Gibbs measures

DOI10.1007/s10958-017-3403-7zbMath1386.37007OpenAlexW2619730660MaRDI QIDQ2406872

A. V. Alpeev

Publication date: 4 October 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3403-7

zbMATH Keywords

Gibbs measureRokhlin entropy

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

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• Cost, \(\ell^2\)-Betti numbers and the sofic entropy of some algebraic actions
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• Fuglede-Kadison determinants and sofic entropy
• Entropy for expansive algebraic actions of residually finite groups
• Measure conjugacy invariants for actions of countable sofic groups
• Left and right convergence of graphs with bounded degree
• Krieger’s finite generator theorem for actions of countable groups III
• Ergodic Theory
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