Relative entropy tuples, relative u.p.e. and c.p.e. extensions

DOI10.1007/s11856-007-0013-yzbMath1121.37007OpenAlexW2087130396MaRDI QIDQ995366

Wen Huang, Guohua Zhang, Xiang Dong Ye

Publication date: 3 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-007-0013-y

zbMATH Keywords

topological entropyPinsker factor

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

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Co-induction in dynamical systems ⋮ Relative topological conditional entropy and a Ledrappier's type variational principle for it ⋮ Relativization of dynamical properties ⋮ Relative entropy dimension for countable amenable group actions ⋮ Relative uniformly positive entropy of induced amenable group actions ⋮ Local variational principle concerning entropy of a sofic group action ⋮ Local entropy theory for a countable discrete amenable group action ⋮ Entropy points and applications ⋮ Local entropy theory ⋮ Ergodic measures of intermediate entropy for affine transformations of nilmanifolds ⋮ A LOCAL VARIATIONAL PRINCIPLE FOR RANDOM BUNDLE TRANSFORMATIONS ⋮ Local entropy via preimage structure ⋮ Local entropy theory of a random dynamical system ⋮ Conditional entropy and fiber entropy for amenable group actions

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