Poisson suspensions and entropy for infinite transformations

DOI10.1090/S0002-9947-09-04968-XzbMath1196.37015arXiv0801.3155MaRDI QIDQ3566706

Élise Janvresse, Emmanuel Roy, Tom Meyerovitch, Thierry De La Rue

Publication date: 8 June 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3155

zbMATH Keywords

entropyPoisson suspension

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (10)

Entropy of infinite systems and transformations ⋮ Slow entropy and differentiable models for infinite-measure preserving ℤ^k actions ⋮ Nonsingular Poisson suspensions ⋮ Directional recurrence and directional rigidity for infinite measure preserving actions of nilpotent lattices ⋮ Zero Krengel entropy does not kill Poisson entropy ⋮ Orbit equivalence of \(p\)-adic transformations and their iterates ⋮ Poisson-Pinsker factor and infinite measure preserving group actions ⋮ Every Borel automorphism without finite invariant measures admits a two-set generator ⋮ Quasi-factors and relative entropy for infinite-measure-preserving transformations ⋮ Measures and entropy on non compact dynamics

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• On convergence of information in spaces with infinite invariant measure
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
• Entropy of conservative transformations

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