Kudō-continuity of conditional entropies

DOI10.1214/22-aihp1313OpenAlexW4386375276MaRDI QIDQ6187896

Yair Hartman, Hanna Oppelmayer, Michael Björklund

Publication date: 16 January 2024

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

Full work available at URL: https://doi.org/10.1214/22-aihp1313

zbMATH Keywords

conditional entropynon-monotone sequences of \(\sigma\)-algebras

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Probabilistic measure theory (60A10)

Cites Work

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• The spectral theory of amenable actions and invariants of discrete groups
• Homogeneous projective factors for actions of semi-simple Lie groups
• Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups
• A note on the strong convergence of \(\sigma\)-algebras
• Generic stationary measures and actions
• Furstenberg entropy of intersectional invariant random subgroups
• Rigidity of Furstenberg entropy for semisimple Lie group actions
• Analysis and Geometry of Markov Diffusion Operators
• Probability
• Compact convergence of \(\sigma\)-fields and relaxed conditional expectation

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