An asymptotic equipartition property for measures on model spaces

DOI10.1090/tran/7294zbMath1410.37005arXiv1701.08723OpenAlexW2962864667MaRDI QIDQ4561840

Tim D. Austin

Publication date: 13 December 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08723

zbMATH Keywords

sofic entropyasymptotic equipartition propertyco-induced dynamical systemsmeasures on model spaces

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (1)

Local and doubly empirical convergence and the entropy of algebraic actions of sofic groups

Cites Work

• A Mathematical Theory of Communication
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• Entropy for expansive algebraic actions of residually finite groups
• Measure conjugacy invariants for actions of countable sofic groups
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• POLISH MODELS AND SOFIC ENTROPY
• Epsilon Entropy of Stochastic Processes
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