Specification property and distributional chaos almost everywhere

DOI10.1090/S0002-9939-08-09602-0zbMath1159.37004OpenAlexW2031160630MaRDI QIDQ3532519

Piotr Oprocha

Publication date: 28 October 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09602-0

zbMATH Keywords

distributional chaos

Mathematics Subject Classification ID

Related Items (23)

On averaged tracing of periodic average pseudo orbits ⋮ The specification property for backward shifts ⋮ Distributionally chaotic translation semigroups ⋮ Packing Entropy of Saturated Sets for Nonuniformly Hyperbolic Systems ⋮ Dynamical systems generating large sets of probability distribution functions ⋮ Topological Weak Specification and Distributional Chaos on Noncompact Spaces ⋮ Generalized specification property and distributionally scrambled sets ⋮ Existence and distributional chaos of points that are recurrent but not Banach recurrent ⋮ Operators with the specification property ⋮ On a problem of iteration invariants for distributional chaos ⋮ Chaos in nonautonomous discrete dynamical systems ⋮ The weak specification property and distributional chaos ⋮ \(N\)-convergence and chaotic properties of non-autonomous discrete systems ⋮ Distributional chaos in multifractal analysis, recurrence and transitivity ⋮ Minimal sets and \(\omega\)-chaos in expansive systems with weak specification property ⋮ Minimal systems and distributionally scrambled sets ⋮ Strong and weak distributional chaos ⋮ Some weak specification properties and strongly mixing ⋮ A construction of multiply Xiong chaotic set with full topological entropy for \(\beta\)-transformation ⋮ Strong distributional chaos and minimal sets ⋮ On variants of distributional chaos in dimension one ⋮ Shift spaces, \(\omega \)-chaos and specification property ⋮ Cantor Sets, Bernoulli Shifts and Linear Dynamics

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• On Graph-realizable Sets of Periods
• Extreme Chaos and Transitivity
• On Dynamical Systems With the Specification Property
• Topological size of scrambled sets
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