Dimensions of stable sets and scrambled sets in positive finite entropy systems

DOI10.1017/S0143385710000982zbMath1308.37010MaRDI QIDQ2908148

Chun Fang, Yingfei Yi, Wen Huang, Peng Fei Zhang

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamical systems with hyperbolic orbits and sets (37D05) Dimension theory of smooth dynamical systems (37C45)

Related Items (15)

Topological entropy of free semigroup actions generated by proper maps for noncompact subsets ⋮ Packing Entropy of Saturated Sets for Nonuniformly Hyperbolic Systems ⋮ Lowering topological entropy over subsets revisited ⋮ Topological pressure of a factor map for nonautonomous dynamical systems ⋮ Induced topological pressure and the zero-dimensional extension for BS dimensions ⋮ Stable sets and mean Li-Yorke chaos in positive entropy systems ⋮ Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for \(\beta\)-transformation ⋮ Mean Li-Yorke chaos along some good sequences ⋮ Asymptotic pairs, stable sets and chaos in positive entropy systems ⋮ A construction of multiply Xiong chaotic set with full topological entropy for \(\beta\)-transformation ⋮ The Hausdorff dimension of multiply Xiong chaotic sets ⋮ Local stable and unstable sets for positive entropy \(C^1\) dynamical systems ⋮ Topological pressures of a factor map for free semigroup actions ⋮ Bowen’s entropy-conjugacy conjecture is true up to finite index ⋮ A formula of conditional entropy and some applications

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