Topological entropy, upper Carath
DOI10.4064/cm8017-12-2019zbMath1490.37020OpenAlexW3034387488MaRDI QIDQ5037768
Dikran Dikranjan, Andrzej Biś, Anna Giordano Bruno, Latchezar Stoyanov
Publication date: 4 March 2022
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm8017-12-2019
Hausdorff dimensionfractal dimensiontopological entropymeasure entropyCarathéodory structureupper capacityreceptive entropyfinitely generated semigroup action
Transformation groups and semigroups (topological aspects) (54H15) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Length, area, volume, other geometric measure theory (28A75) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
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Cites Work
- Entropy and actions of sofic groups
- Compact group automorphisms, addition formulas and Fuglede-Kadison determinants
- Ergodic theory and statistical mechanics
- Approach to equilibrium for locally expanding maps in \({\mathbb{R}}^ k\)
- Entropy and isomorphism theorems for actions of amenable groups
- Geometric entropy of foliations
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Mahler measure and entropy for commuting automorphisms of compact groups
- A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space
- Entropies of a semigroup of maps
- Topological entropy of group and semigroup actions
- Metric versus topological receptive entropy of semigroup actions
- Algebraic entropies of commuting endomorphisms of torsion abelian groups
- An analogue of Fekete's lemma for subadditive functions on cancellative amenable semigroups
- Commuting measure-preserving transformations
- Some remarks on the entropy for algebraic actions of amenable groups
- Some compact invariant sets for hyperbolic linear automorphisms of torii
- Topological Entropy for Noncompact Sets
- Topological Entropy
- Topological Entropy Bounds Measure-Theoretic Entropy
- Entropy for Group Endomorphisms and Homogeneous Spaces
- Relating Topological Entropy and Measure Entropy
- Ergodic Theory
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