Logarithmic expansion, entropy, and dimension for set-valued maps
DOI10.1007/s10958-023-06737-yMaRDI QIDQ6179078
Carlos A. Morales, Dante Carrasco-Olivera, Roger J. Metzger
Publication date: 16 January 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Dynamical aspects of measure-preserving transformations (37A05) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- Topological entropy for set-valued maps
- The set-valued dynamic systems and its applications to Pareto optima
- Pressures for asymptotically sub-additive potentials under a mistake function
- Dimension and recurrence in hyperbolic dynamics
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Expanding maps on compact metric spaces
- Some relations between Hausdorff-dimensions and entropies
- Dimension and product structure of hyperbolic measures
- Poincaré's recurrence theorems for set-valued dynamical systems
- Expansion rates and Lyapunov exponents
- Expansiveness, hyperbolicity and Hausdorff dimension
- A new metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces
- Set-valued mappings and enlargement of monotone operators.
- Fifty years of entropy in dynamics: 1958 -- 2007
- Poincaré's recurrence theorem for set-valued dynamical systems
- Expansive Homeomorphisms and Topological Dimension
- Stable Sets and Stable Points of Set-Valued Dynamic Systems with Applications to Game Theory
- Topological Entropy
- A Note on Expansive Mappings
- Entropy for Group Endomorphisms and Homogeneous Spaces
- The Basic Theorems of Information Theory
- Set-valued analysis
This page was built for publication: Logarithmic expansion, entropy, and dimension for set-valued maps