Zero Krengel entropy does not kill Poisson entropy

DOI10.1214/10-AIHP393zbMath1269.37003arXiv0910.2566MaRDI QIDQ424695

Thierry De La Rue, Élise Janvresse

Publication date: 4 June 2012

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2566

zbMATH Keywords

infinite measure-preserving transformationPoisson suspension\(\overline d\)-distanceKrengel entropy

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) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (2)

Orbit equivalence of \(p\)-adic transformations and their iterates ⋮ Poisson-Pinsker factor and infinite measure preserving group actions

Cites Work

• Poisson suspensions and entropy for infinite transformations
• Predictability, entropy and information of infinite transformations
• Entropy of conservative transformations
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