Residuality of dynamical morphisms for amenable group actions

DOI10.1512/IUMJ.2024.73.60075MaRDI QIDQ6609508

Dawid Huczek, J. Serafin, Sebastian Kopacz

Publication date: 23 September 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

zbMATH Keywords

entropysymbolic dynamicsamenable groupjoiningsOrnstein's theorem

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

• Title not available (Why is that?)
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• Entropy and the variational principle for actions of sofic groups
• Entropy and isomorphism theorems for actions of amenable groups
• Pointwise theorems for amenable groups.
• Tilings of amenable groups
• Følner tilings for actions of amenable groups
• Measure conjugacy invariants for actions of countable sofic groups
• Residuality of dynamical morphisms
• An entropy equidistribution property for a measurable partition under the action of an amenable group
• On Entropy and Generators of Measure-Preserving Transformations
• Ergodic Theory

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