Dynamical quasitilings of amenable groups

DOI10.4064/ba8128-1-2018zbMath1457.37026arXiv1705.07365OpenAlexW2963034048MaRDI QIDQ4634611

Dawid Huczek, Tomasz Downarowicz

Publication date: 10 April 2018

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07365

zbMATH Keywords

dynamical systemamenable groupquasitiling

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Tiling dynamics (37B52)

Related Items

Topological pressure of generic points for amenable group actions ⋮ Maximal entropy measures in dimension zero ⋮ Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras ⋮ Faces of simplices of invariant measures for actions of amenable groups ⋮ Følner tilings for actions of amenable groups ⋮ Extensions of full shifts with group actions ⋮ The symbolic extension theory in topological dynamics ⋮ QDQ vs. UCT ⋮ Symbolic Extensions of Amenable Group Actions and the Comparison Property

Cites Work

• Entropy and isomorphism theorems for actions of amenable groups
• Tilings of amenable groups
• Folner's Conditions for Amenable Semi-Groups.