RELATIVE ENTROPY, ASYMPTOTIC PAIRS AND CHAOS

DOI10.1112/S0024610705022520zbMath1085.37002OpenAlexW2154524490MaRDI QIDQ3377407

Guohua Zhang

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1112/s0024610705022520

zbMATH Keywords

scrambled setsconditional entropyLi-Yorke chaosproximalityLi-Yorke pairsasymptoticityasymptotic behavior of pairs of pointsscrambled sets on fibers

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (16)

Random dynamical systems with positive entropy imply second type of distributional chaos ⋮ Lowering topological entropy over subsets revisited ⋮ Mean Li-Yorke chaos for random dynamical systems ⋮ Relative topological conditional entropy and a Ledrappier's type variational principle for it ⋮ Relativization of dynamical properties ⋮ Almost proximal extensions of minimal flows ⋮ On sets with recurrence properties, their topological structure and entropy ⋮ Asymptotic pairs, stable sets and chaos in positive entropy systems ⋮ Entropy points and applications ⋮ Relative entropy tuples, relative u.p.e. and c.p.e. extensions ⋮ Local entropy theory ⋮ Relative Entropy and Mean Li–Yorke Chaos for Biorderable Amenable Group Actions ⋮ Relative entropy and mean Li-Yorke chaos along some good sequences ⋮ 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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