Family independence for topological and measurable dynamics
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Publication:2841400
DOI10.1090/S0002-9947-2012-05493-6zbMath1286.37017arXiv0908.0574MaRDI QIDQ2841400
Wen Huang, Hanfeng Li, Xiang Dong Ye
Publication date: 25 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.0574
Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Symbolic dynamics (37B10)
Related Items (21)
Broken family sensitivity in transitive systems ⋮ On -genericity of distributional chaos ⋮ Topological characteristic factors and independence along arithmetic progressions ⋮ How chaotic is an almost mean equicontinuous system? ⋮ Weak horseshoe with bounded-gap-hitting times ⋮ Sub-additive and asymptotically sub-additive topological pressure for \(\mathbb{Z }^d\)-actions ⋮ Shadowing, entropy and minimal subsystems ⋮ On proximality with Banach density one ⋮ Weakly mixing proximal topological models for ergodic systems and applications ⋮ On tameness of almost automorphic dynamical systems for general groups ⋮ Regionally proximal relation of order \(d\) along arithmetic progressions and nilsystems ⋮ Mixing via the extended family ⋮ Recurrence properties and disjointness on the induced spaces ⋮ Product recurrent properties, disjointness and weak disjointness ⋮ Transitive points via Furstenberg family ⋮ Positive topological entropy and \(\Delta\)-weakly mixing sets ⋮ Upper frequent hypercyclicity and related notions ⋮ On mean sensitive tuples ⋮ Combinatorial independence and naive entropy ⋮ Orbital and spectral aspects of hypercyclic operators and semigroups ⋮ Recent development of chaos theory in topological dynamics
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