Dynamics of induced systems

DOI10.1017/etds.2016.7zbMath1387.37015arXiv1412.2388OpenAlexW3106540780MaRDI QIDQ4600270

Joseph Auslander, Anima Nagar, Ethan Akin

Publication date: 8 January 2018

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

Full work available at URL: https://arxiv.org/abs/1412.2388

zbMATH Keywords

metric spaceHausdorff topologycomposition of maps

Mathematics Subject Classification ID

Symbolic dynamics (37B10)

Related Items (10)

Induced dynamics of nonautonomous dynamical systems ⋮ Dynamic properties for the induced maps on symmetric product suspensions of a topological space ⋮ When are all closed subsets recurrent? ⋮ Relative uniformly positive entropy of induced amenable group actions ⋮ Strongly rigid flows ⋮ Unnamed Item ⋮ Uniformly positive entropy of induced transformations ⋮ Characterization of quasifactors ⋮ Finiteness in polygonal billiards on hyperbolic plane ⋮ On the transitivity and sensitivity of group actions

Cites Work

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• Recurrence properties and disjointness on the induced spaces
• Inducing sensitivity on hyperspaces
• Topological dynamics of transformations induced on the space of probability measures
• Chaos for induced hyperspace maps
• Hyperspaces of the Inverse Limit Space
• Topological dynamics on hyperspaces
• Rigidity in topological dynamics
• The Hyperspace of the Closed Unit Interval is a Hilbert Cube
• Ellis groups of quasi-factors of minimal flows
• When are all closed subsets recurrent?
• Quasi-Factors of Zero Entropy Systems
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Disjointness and Weak Mixing of Minimal Sets
• Topologies on Spaces of Subsets
• Quasifactors of minimal systems
• Residual properties and almost equicontinuity.

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