Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems

DOI10.1142/S0219493721500210zbMath1482.37033arXiv1811.12674OpenAlexW3083140113WikidataQ115523080 ScholiaQ115523080MaRDI QIDQ5157729

Weisheng Wu, Xin Sheng Wang, Yu Jun Zhu

Publication date: 20 October 2021

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12674

zbMATH Keywords

variational principlerandom dynamical systemShannon-McMillan-Breiman theoremunstable entropyunstable pressure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Partially hyperbolic systems and dominated splittings (37D30) Stability theory for random and stochastic dynamical systems (37H30) Random iteration (37H12)

Related Items (4)

Local unstable entropy and local unstable pressure for partially hyperbolic endomorphisms ⋮ Random Gibbs \(u\)-state for partially hyperbolic on fibers system ⋮ Local unstable entropy and local unstable pressure for random partially hyperbolic dynamical systems ⋮ On entropy and pressure via preimage structure for random dynamical systems

Cites Work

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• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Entropy formula for random transformations
• Dimension formula for random transformations
• Characterization of measures satisfying the Pesin entropy formula for random dynamical systems
• Random perturbations of Axiom A basic sets
• Formula of entropy along unstable foliations for \(C^1\) diffeomorphisms with dominated splitting
• Unstable entropies and variational principle for partially hyperbolic diffeomorphisms
• Smooth ergodic theory of random dynamical systems
• Entropy along expanding foliations
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Preimage pressure for random transformations
• Entropy formula for random dynamical systems: relations between entropy, exponents and dimension
• Quasi-stability of partially hyperbolic diffeomorphisms
• Dimension of hyperbolic measures of random diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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