Minimality, transitivity, mixing and topological entropy on spaces with a free interval

DOI10.1017/S0143385712000442zbMath1286.37005arXiv1112.1191MaRDI QIDQ2874005

Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský

Publication date: 28 January 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1191

zbMATH Keywords

continuumtopological entropytransitive systemdense periodicitymixing systemfree intervaldisconnecting interval

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (10)

Sensitive open maps on Peano continua having a free arc ⋮ Sensitivity of dendrite maps ⋮ Exploring stronger forms of transitivity on G-spaces ⋮ Generic chaos on dendrites ⋮ Minimal sets on continua with a dense free interval ⋮ Periodic points and transitivity on dendrites ⋮ Transitive dendrite map with zero entropy ⋮ Transitive dendrite map with infinite decomposition ideal ⋮ Sensitive semigroups of mappings on Peano continua having a free arc ⋮ Minimality for actions of abelian semigroups on compact spaces with a free interval

Cites Work

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• Dynamics in one dimension
• On maps with dense orbits and the definition of chaos
• The nonexistence of expansive commutative group actions on Peano continua having free dendrites
• \(\overline R= R \cup \overline P\) for graph maps
• Noninvertible minimal maps
• A note on transitivity, sensitivity and chaos for graph maps
• Backward orbits of transitive maps
• D-function of a minimal set and an extension of Sharkovskii's theorem to minimal sets
• The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites
• Entropy and periodic points for transitive maps
• Regular periodic decompositions for topologically transitive maps
• When every point is either transitive or periodic
• Minimal Sets on Graphs and Dendrites
• Almost totally disconnected minimal systems
• Entropy estimates for transitive maps on trees

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