Analogues of Auslander–Yorke theorems for multi-sensitivity
From MaRDI portal
Publication:4643258
DOI10.1017/etds.2016.48zbMath1390.37016arXiv1509.08818OpenAlexW2963881262MaRDI QIDQ4643258
Guohua Zhang, Wen Huang, Sergiǐ F. Kolyada
Publication date: 24 May 2018
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.08818
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (32)
Time-restricted sensitivity and entropy for random dynamical systems ⋮ Broken family sensitivity in transitive systems ⋮ Local non-periodic order and diam-mean equicontinuity on cellular automata ⋮ On \(n\)-tuplewise IP-sensitivity and thick sensitivity ⋮ Stronger version sensitivity, almost finite to one extension and maximal pattern entropy ⋮ A survey of some aspects of dynamical topology: dynamical compactness and Slovak spaces ⋮ Furstenberg families, sensitivity and the space of probability measures ⋮ On topological models of zero entropy loosely Bernoulli systems ⋮ \( \mathscr{F} \)-equicontinuity and an analogue of Auslander-Yorke dichotomy theorem ⋮ Equicontinuity and sensitivity of group actions ⋮ The complexity of an induced system of \(\mathbb{Z}^2\)-actions ⋮ Relativization of sensitivity in minimal systems ⋮ Asymptotically almost periodic points and sensitivity of continuous maps ⋮ Measurable \(n\)-sensitivity and maximal pattern entropy ⋮ Sensitivity, proximal extension and higher order almost automorphy ⋮ Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity ⋮ The life and mathematics of Sergiĭ Kolyada ⋮ Multi-sensitivity, multi-transitivity and Δ-transitivity ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ Finite intersection property and dynamical compactness ⋮ Measurable sensitivity via Furstenberg families ⋮ Minimal systems with finitely many ergodic measures ⋮ Dynamical compactness and sensitivity ⋮ Time-restricted sensitivity and entropy ⋮ Mean equicontinuity, almost automorphy and regularity ⋮ Stronger versions of sensitivity for minimal group actions ⋮ Rendezvous with sensitivity ⋮ On the transitivity and sensitivity of group actions ⋮ The topological sensitivity with respect to Furstenberg families ⋮ Restricted sensitivity, return time and entropy in Feldman–Katok and mean metrics ⋮ On variants of n-sensitivity in semiflows ⋮ Epsilon-equicontinuous points and epsilon-shadowable points
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recent development of chaos theory in topological dynamics
- Sensitive dependence to initial conditions for one dimensional maps
- Interval maps, factors of maps, and chaos
- A simple characterization of the set of \(\mu\)-entropy pairs and applications
- Thickly syndetical sensitivity of topological dynamical system
- Noninvertible minimal maps
- Homomorphisms of Transformation Groups
- Topological dynamics
- Sensitive dependence on initial conditions
- Li–Yorke sensitivity
- Topological complexity
- Sensitivity, proximal extension and higher order almost automorphy
- Stronger forms of sensitivity for dynamical systems
- Almost Automorphic Functions on Groups
- The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups
- A NEW APPROACH TO ALMOST PERIODICITY
- Residual properties and almost equicontinuity.
- Devaney's chaos or 2-scattering implies Li-Yorke's chaos
- Dynamical compactness and sensitivity
This page was built for publication: Analogues of Auslander–Yorke theorems for multi-sensitivity