When are all closed subsets recurrent?
From MaRDI portal
Publication:4600279
DOI10.1017/etds.2016.5zbMath1380.37023OpenAlexW2349699011MaRDI QIDQ4600279
Piotr Oprocha, Jie Li, Xiang Dong Ye, Rui-feng Zhang
Publication date: 8 January 2018
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/etds.2016.5
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items
Topological properties on hyperspace of group actions ⋮ Double minimality, entropy and disjointness with all minimal systems ⋮ A note on measure-theoretic equicontinuity and rigidity ⋮ Chaos of Transformations Induced Onto the Space of Probability Measures ⋮ Equicontinuity on semi-locally connected spaces ⋮ Topological Dynamics of Zadeh’s Extension on Upper Semi-Continuous Fuzzy Sets ⋮ Shadowing property of hyperspace for free semigroup actions ⋮ Dynamics of induced systems ⋮ Measure-theoretic equicontinuity and rigidity ⋮ When is a dynamical system mean sensitive? ⋮ Strongly rigid flows ⋮ An answer to Furstenberg’s problem on topological disjointness ⋮ On the topological entropy of induced transformations for free semigroup action ⋮ Dichotomy theorem for control sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two results on entropy, chaos and independence in symbolic dynamics
- Recurrence properties and disjointness on the induced spaces
- Dynamics in one dimension
- Topological dynamics of transformations induced on the space of probability measures
- Product recurrent properties, disjointness and weak disjointness
- Weak mixing and product recurrence
- A local variational relation and applications
- Independence in topological and \(C^*\)-dynamics
- Chaos for induced hyperspace maps
- Operator methods in classical mechanics. II
- On notions of determinism in topological dynamics
- Asymptotic pairs in positive-entropy systems
- Characterizations of Almost Periodic Transformation Groups
- On recurrence in zero dimensional flows
- On sensitive sets in topological dynamics
- The topological dynamics of Ellis actions
- Recurrence without uniform recurrence
- Rigidity in topological dynamics
- A disjointness theorem involving topological entropy
- Sensitive dependence on initial conditions
- Dynamics of induced systems
- Topological complexity, return times and weak disjointness
- Dynamical systems disjoint from any minimal system
- Quasi-Factors of Zero Entropy Systems
- Introduction to Dynamical Systems
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
This page was built for publication: When are all closed subsets recurrent?
