A note on the complexity function and entropy of pseudogroups

DOI10.1016/j.jmaa.2016.02.021zbMath1360.37028OpenAlexW2254168309MaRDI QIDQ252864

Dominik Kwietniak, Martha Łącka

Publication date: 4 March 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.02.021

zbMATH Keywords

entropycomplexity functionpseudogroupspseudometrics

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General theory of group and pseudogroup actions (22F05)

Cites Work

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• Expansion growth, entropy and invariant measures of distal groups and pseudogroups of homeo- and diffeomorphisms
• Topological description of Riemannian foliations with dense leaves
• The unique ergodicity of equicontinuous laminations
• Equicontinuous foliated spaces
• Geometric entropy of foliations
• Topological mapping properties defined by digraphs
• Specification and thermodynamical properties of semigroup actions
• Soficity, amenability, and dynamical entropy
• Entropy of distal groups, pseudogroups, foliations and laminations
• Uniformly quasi-isometric foliations
• Entropy, transverse entropy and partitions of unity
• Topological complexity
• Conformal foliations

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