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A simple development of the Thouvenot relative isomorphism theory

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Publication:801176
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DOI10.1214/aop/1176993383zbMath0551.28023OpenAlexW1991561167MaRDI QIDQ801176

John Cronan Kieffer

Publication date: 1984

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993383


zbMATH Keywords

very weak BernoulliOrnstein isomorphism theoremprocesses with finite state spacesame entropy rateThouvenot's relative isomorphism theorem


Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Coding theorems (Shannon theory) (94A24)


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Lowering topological entropy over subsets revisited ⋮ An ergodic system is dominant exactly when it has positive entropy ⋮ The isomorphism theorem for relatively finitely determined \(Z^ n\)- actions ⋮ Measure concentration and the weak Pinsker property ⋮ Quasi-factors and relative entropy for infinite-measure-preserving transformations ⋮ A topological lens for a measure-preserving system ⋮ The structure of strongly stationary systems




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