Entropy sets, weakly mixing sets and entropy capacity
From MaRDI portal
Publication:2479757
zbMath1151.37019MaRDI QIDQ2479757
Publication date: 3 April 2008
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
invariant measuresymbolic dynamicsnoninvertible mapstopological entropyLi-Yorke chaosBowen entropyentropy tuplespartial mixingentropy pairs
Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Related Items
Topological properties on hyperspace of group actions ⋮ Weakly mixing sets and transitive sets for non-autonomous discrete systems ⋮ On the Entropy Points and Shadowing in Uniform Spaces ⋮ Sub-additive and asymptotically sub-additive topological pressure for \(\mathbb{Z }^d\)-actions ⋮ On entropy of graph maps that give hereditarily indecomposable inverse limits ⋮ \(\Delta\)-weakly mixing subsets along a collection of sequences of integers ⋮ Relativization of dynamical properties ⋮ On sets with recurrence properties, their topological structure and entropy ⋮ On weak product recurrence and synchronization of return times ⋮ Unnamed Item ⋮ Chaotic behaviour of the map \(x\mapsto\omega(x,f)\) ⋮ Weak mixing and chaos in nonautonomous discrete systems ⋮ Weak mixing and product recurrence ⋮ Stable sets and mean Li-Yorke chaos in positive entropy systems ⋮ Localization of mixing property via Furstenberg families ⋮ \({\Delta}\)-weakly mixing subset in positive entropy actions of a nilpotent group ⋮ Mean Li-Yorke chaos along some good sequences ⋮ Finite intersection property and dynamical compactness ⋮ Countable compacta admitting homeomorphisms with positive sequence entropy ⋮ Weak mixing in switched systems ⋮ Entropy points and applications ⋮ The topological entropy of stable sets for bi-orderable amenable groups ⋮ The construction of a completely scrambled system by graph covers ⋮ Positive topological entropy and \(\Delta\)-weakly mixing sets ⋮ Stable sets and \(\epsilon\)-stable sets in positive-entropy systems ⋮ On local aspects of sensitivity in topological dynamics ⋮ Combinatorial lemmas and applications to dynamics ⋮ The Hausdorff dimension of multiply Xiong chaotic sets ⋮ On local aspects of topological transitivity and weak mixing in set-valued discrete systems ⋮ Uniform convergence and transitive subsets ⋮ Conditional entropy and fiber entropy for amenable group actions ⋮ Recent development of chaos theory in topological dynamics ⋮ Two results on entropy, chaos and independence in symbolic dynamics