Characterizing ergodicity of induced hyperspace dynamical systems

DOI10.1007/s40590-018-0229-3zbMath1440.37018OpenAlexW2903997619WikidataQ128772265 ScholiaQ128772265MaRDI QIDQ2174774

Publication date: 27 April 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0229-3

zbMATH Keywords

hyperspace topological transitivity topological ergodicity hit-or-miss topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Ergodicity, mixing, rates of mixing (37A25) Topological entropy (37B40) Dynamics in general topological spaces (37B02)

Cites Work

Recurrence properties and disjointness on the induced spaces
Chaos in hyperspace system
A note on ergodicity of systems with the asymptotic average shadowing property
Devaney's chaotic on induced maps of hyperspace
Several sufficient conditions for sensitive dependence on initial conditions
Transitivity, mixing and chaos for a class of set-valued mappings
On ergodicity of systems with the asymptotic average shadowing property
The central limit theorem and ergodicity
Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems
Chaos on hyperspaces
Topological dynamics of transformations induced on the space of probability measures
A note on transitivity in set-valued discrete systems.
Rigidity and sensitivity on uniform spaces
Set-valued chaos in linear dynamics
Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces
On chaotic set-valued discrete dynamical systems
When does the Fell topology on a hyperspace of closed sets coincide with the meet of the upper Kuratowski and the lower Vietoris topologies?
On the large deviations theorem and ergodicity
Central limit theorem and chaoticity
\(\mathcal{F}\)-sensitivity and multi-sensitivity of hyperspatial dynamical systems
On the Fell topology
Mixing properties of set-valued maps on hyperspaces via Furstenberg families
Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems
On metrization of the hit-or-miss topology using Alexandroff compactification
Individual chaos implies collective chaos for weakly mixing discrete dynamical systems
Chaos for induced hyperspace maps
Robinson's chaos in set-valued discrete systems
Set-valued discrete chaos
On mixing property in set-valued discrete systems
Topological entropy and chaos for maps induced on hyperspaces
The large deviations theorem and ergodicity
On the Iteration Properties of Large Deviations Theorem
On various definitions of shadowing with average error in tracing
A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
Random Sets: Models and Statistics
On the Large Deviations Theorem of Weaker Types
Various Shadowing in Linear Dynamical Systems
Hyperspace Dynamics of Generic Maps of the Cantor Space
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