Minimal group actions on dendrites

DOI10.1090/S0002-9939-09-10000-XzbMath1191.37009OpenAlexW2023664970MaRDI QIDQ3402173

En Hui Shi, Su Hua Wang, Li Zhen Zhou

Publication date: 2 February 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10000-x

zbMATH Keywords

invariant measuretransitivitydendriteamenable groupweak mixingequicontinuityminimal group actionnondegenarate homogeneous dendritesensitive action

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (13)

Groups acting on dendrons ⋮ Pointwise recurrent one-dimensional flows ⋮ Homeomorphisms of locally finite graphs ⋮ Dendrite flows ⋮ Group action on local dendrites ⋮ Free subgroups of dendrite homeomorphism group ⋮ Equicontinuity of minimal sets for amenable group actions on dendrites ⋮ Flows of locally finite graphs ⋮ Equicontinuous actions on semi-locally connected and local dendrites ⋮ Minimal sets for group actions on dendrites ⋮ Periodic points for amenable group actions on dendrites ⋮ Minimal sets and orbit spaces for group actions on local dendrites ⋮ Topological entropy of transitive dendrite maps

Cites Work

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• The nonexistence of expansive commutative group actions on Peano continua having free dendrites
• Hausdorff dimension and dendritic limit sets
• Foundations of Hyperbolic Manifolds
• Fixed point properties of nilpotent group actions on 1-arcwise connected continua
• On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds

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