Slow entropy and differentiable models for infinite-measure preserving ℤk actions

DOI10.1017/S0143385711000782zbMath1273.37022arXiv1105.4677OpenAlexW3103886543MaRDI QIDQ2908151

Michael Hochman

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4677

zbMATH Keywords

slow entropysmooth models

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (8)

Entropy dimension for deterministic walks in random sceneries ⋮ Slow entropy of some combinatorial constructions ⋮ Variational principles of receptive entropies for semigroup actions ⋮ Slow entropy of higher rank abelian unipotent actions ⋮ Slow entropy for noncompact sets and variational principle ⋮ Metric versus topological receptive entropy of semigroup actions ⋮ Entropy dimension of topological dynamical systems ⋮ Slow entropy of some parabolic flows

Cites Work

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• Conditional entropy theory in infinite measure and a question of Krengel
• A ratio ergodic theorem for multiparameter non-singular actions
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
• Entropy theory for cross-sections
• Entropy dimension of topological dynamical systems
• The recurrence time for ergodic systems with infinite invariant measures
• Poisson suspensions and entropy for infinite transformations
• Entropy of conservative transformations

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