Two results on entropy, chaos and independence in symbolic dynamics
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Publication:258243
DOI10.3934/dcdsb.2015.20.3487zbMath1366.37036arXiv1502.03981OpenAlexW1750285197MaRDI QIDQ258243
Dominik Kwietniak, Marcin Kulczycki, Fryderyk Falniowski, Jian Li
Publication date: 10 March 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.03981
topological entropyLi-Yorke chaosdistributional chaosDevaney chaos\(\omega\)-chaosdeterministic dynamical system
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Symbolic dynamics (37B10)
Related Items (12)
Double minimality, entropy and disjointness with all minimal systems ⋮ On the irregular points for systems with the shadowing property ⋮ Generic points for dynamical systems with average shadowing ⋮ On chaos for iterated function systems ⋮ On the properties of the mean orbital pseudo-metric ⋮ Shadowing, transitivity and a variation of omega-chaos ⋮ When are all closed subsets recurrent? ⋮ Devaney chaos plus shadowing implies distributional chaos ⋮ Limit sets, attractors and chaos ⋮ Mean proximality and mean Li-Yorke chaos ⋮ Dendrites and Chaos ⋮ Devaney's chaos for maps on \(G\)-spaces
Cites Work
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- Recent development of chaos theory in topological dynamics
- Uniqueness of the measure of maximal entropy for the squarefree flow
- Coordinate density of sets of vectors
- Shattering news
- The three versions of distributional chaos
- Topological entropy and distributional chaos in hereditary shifts with applications to spacing shifts and beta shifts
- A local variational relation and applications
- Independence in topological and \(C^*\)-dynamics
- Stable sets and mean Li-Yorke chaos in positive entropy systems
- Entropy sets, weakly mixing sets and entropy capacity
- Problems and theorems in classical set theory
- A combinatorial problem; stability and order for models and theories in infinitary languages
- On the density of families of sets
- Positive topological entropy implies chaos DC2
- ω-Chaos and Topological Entropy
- Relations between distributional and Devaney chaos
- Topological chaos: what may this mean?
- Local entropy theory
- Chaotic Functions with Zero Topological Entropy
- A Combinatorial Application of the Maximal Ergodic Theorem
- On Devaney's Definition of Chaos
- Dynamical properties of the shift maps on the inverse limit spaces
- Period Three Implies Chaos
- Sensitive dependence on initial conditions
- Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
- On Li-Yorke pairs
- When every point is either transitive or periodic
- Quasi-Factors of Zero Entropy Systems
- An Introduction to Symbolic Dynamics and Coding
- On enveloping semigroups of almost one-to-one extensions of minimal group rotations
- Topological Entropy
- Topological size of scrambled sets
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Topological transitivity and ergodic measures
- Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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