Entropy via preimage structure
From MaRDI portal
Publication:2161283
DOI10.1016/J.AIM.2022.108483zbMath1502.37044OpenAlexW4281718692MaRDI QIDQ2161283
Publication date: 4 August 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2022.108483
variational principleupper semi-continuityfolding entropypreimage entropypreimage equilibrium stateShannon-Breiman-McMillan theorem
Continuous maps (54C05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40)
Related Items (7)
Variational principles for pointwise preimage entropies ⋮ Preimage pressure on subsets and multifractal analysis ⋮ Metric mean dimension via preimage structures ⋮ Preimage entropy and stable entropy on subsets ⋮ Topological Stability and Entropy for Certain Set-valued Maps ⋮ Local entropy via preimage structure ⋮ On entropy and pressure via preimage structure for random dynamical systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ruelle inequality of folding type for \(C^{1+\alpha}\) maps
- Invariant measures satisfying an equality relating entropy, folding entropy and negative Lyapunov exponents
- The metric entropy of endomorphisms
- Continuity properties of entropy
- Positivity of entropy production in nonequilibrium statistical mechanics
- Ruelle inequality relating entropy, folding entropy and negative Lyapunov exponents
- Unstable entropies and variational principle for partially hyperbolic diffeomorphisms
- Topological entropy and the preimage structure of maps
- Local entropy via preimage structure
- Preimage pressure, stable pressure and equilibrium states
- Fifty years of entropy in dynamics: 1958 -- 2007
- Stable sets and \(\epsilon\)-stable sets in positive-entropy systems
- Fiber entropy and conditional variational principles in compact non-metrizable spaces
- A proof of Pesin's formula
- Entropie de l'image inverse d'une application
- A Relativised Variational Principle for Continuous Transformations
- Differentiability Properties of the Pressure of a Continuous Transformation on a Compact Metric Space
- Entropy and preimage sets
- On topological entropy of maps
- On preimage entropy, folding entropy and stable entropy
- ERGODIC OPTIMIZATION OF BIRKHOFF AVERAGES AND LYAPUNOV EXPONENTS
- Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms
- Ergodic optimization in dynamical systems
- Pre-image pressure and invariant measures
- PREIMAGE ENTROPY FOR MAPPINGS
- Topological entropy of m-fold maps
- Pre-image entropy
This page was built for publication: Entropy via preimage structure