On the generic behavior of the metric entropy, and related quantities, of uniformly continuous maps over Polish metric spaces
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Publication:6047378
DOI10.1002/mana.202000312arXiv2005.11578MaRDI QIDQ6047378
Silas L. Carvalho, Alexander Condori
Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11578
Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Continuous maps (54C05) Entropy and other invariants (28D20) Topological entropy (37B40) Dynamics in general topological spaces (37B02)
Cites Work
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- Symbolic extensions and continuity properties of the entropy
- Positively expansive homeomorphisms on compact metric spaces
- Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
- On the category of ergodic measures
- Generic properties of invariant measures for continuous piecewise monotonic transformations
- Continuity properties of entropy
- Expanding maps on compact metric spaces
- Ergodic theory on compact spaces
- Ruelle's inequality in negative curvature
- Periodic probability measures are dense in the set of invariant measures
- Expansiveness, hyperbolicity and Hausdorff dimension
- The density theorem and Hausdorff inequality for packing measure in general metric spaces
- Upper semi-continuity of entropy in non-compact settings
- Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior
- A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures
- Dimension via waiting time and recurrence
- Generic properties of invariant measures for Axiom A diffeomorphisms
- On the prevalence of zero entropy
- Dimension of a measure
- On density of ergodic measures and generic points
- Properties of invariant measures in dynamical systems with the shadowing property
- Entropy and Poincaré recurrence from a geometrical viewpoint
- Upper semi-continuity of entropy map for nonuniformly hyperbolic systems
- Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces
- Foundations of Ergodic Theory
- Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
- On Dynamical Systems With the Specification Property
- Invariant measures for typical continuous maps on manifolds
- On mixing measures for axiom A diffeomorphisms
- Hausdorff dimension of measures via Poincaré recurrence
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