Bernoulli actions and infinite entropy
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Publication:664249
DOI10.4171/GGD/142zbMath1246.37015arXiv1005.5143MaRDI QIDQ664249
Publication date: 29 February 2012
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.5143
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) General groups of measure-preserving transformations and dynamical systems (37A15)
Related Items (21)
Entropy, products, and bounded orbit equivalence ⋮ Naive entropy of dynamical systems ⋮ The geometry of model spaces for probability-preserving actions of sofic groups ⋮ Finite entropy actions of free groups, rigidity of stabilizers, and a Howe-Moore type phenomenon ⋮ An asymptotic equipartition property for measures on model spaces ⋮ Bernoulli shifts with bases of equal entropy are isomorphic ⋮ Sofic measure entropy via finite partitions ⋮ Isomorphisms of Poisson systems over locally compact groups ⋮ POLISH MODELS AND SOFIC ENTROPY ⋮ ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES ⋮ Krieger's finite generator theorem for actions of countable groups. I. ⋮ Bernoulli actions of sofic groups have completely positive entropy ⋮ A subgroup formula for f-invariant entropy ⋮ Finitary random interlacements and the Gaboriau-Lyons problem ⋮ Behaviour of entropy under bounded and integrable orbit equivalence ⋮ The work of Lewis Bowen on the entropy theory of non-amenable group actions ⋮ Entropy, Shannon orbit equivalence, and sparse connectivity ⋮ Positive entropy actions of countable groups factor onto Bernoulli shifts ⋮ Ergodic actions of countable groups and finite generating partitions ⋮ Examples in the entropy theory of countable group actions ⋮ Krieger's finite generator theorem for actions of countable groups. II
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