Measurable sensitivity
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Publication:3533872
DOI10.1090/S0002-9939-08-09294-0zbMath1149.37002arXivmath/0612480OpenAlexW3038005217MaRDI QIDQ3533872
Cesar E. Silva, Jennifer James, Peter Speh, Thomas Koberda, Kathryn A. Lindsey
Publication date: 24 October 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612480
Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (13)
Time-restricted sensitivity and entropy for random dynamical systems ⋮ W-measurable sensitivity of semigroup actions ⋮ On Measure Chaotic Dynamical Systems ⋮ Unnamed Item ⋮ Measurable \(n\)-sensitivity and maximal pattern entropy ⋮ Measure-theoretical sensitivity and equicontinuity ⋮ Weak mixing properties for non-singular actions ⋮ Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity ⋮ Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces ⋮ Measurable sensitivity via Furstenberg families ⋮ Time-restricted sensitivity and entropy ⋮ On Li-Yorke measurable sensitivity ⋮ Restricted sensitivity, return time and entropy in Feldman–Katok and mean metrics
Cites Work
- Sensitive dependence to initial conditions for one dimensional maps
- Chaotic properties of mappings on a probability space.
- Weak-mixing implies sensitive dependence
- Invariant measures and orbits of dissipative transformations
- On Devaney's Definition of Chaos
- Sensitive dependence on initial conditions
- On Li-Yorke pairs
- Double ergodicity of nonsingular transformations and infinite measure-preserving staircase transformations
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