Thermodynamic formalism for random non-uniformly expanding maps

DOI10.1007/s00220-021-04088-wzbMath1476.37054arXiv2006.03749OpenAlexW3155693287MaRDI QIDQ2035920

Paulo Varandas, Shintaro Suzuki, Manuel Stadlbauer

Publication date: 2 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03749

zbMATH Keywords

thermodynamic formalismrandom mapsMarkov structureweak Gibbs property

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Combinatorial dynamics (types of periodic orbits) (37E15) Random iteration (37H12)

Related Items (10)

Exponential decay of random correlations for random Anosov systems mixing on fibers ⋮ Equilibrium states for non-transitive random open and closed dynamical systems ⋮ Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system ⋮ Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates ⋮ Uniqueness and stability of equilibrium states for random non-uniformly expanding maps ⋮ Invariant measures in non-conformal fibered systems with singularities ⋮ Thermodynamic formalism for random weighted covering systems ⋮ Almost sure rates of mixing for partially hyperbolic attractors ⋮ Entropy inequalities for semigroup actions ⋮ Expanding measure has nonuniform specification property on random dynamical system

Cites Work

• Unnamed Item
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• Random countable iterated function systems with overlaps and applications
• Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry
• Countable alphabet random subhifts of finite type with weakly positive transfer operator
• Thermodynamic formalism for random countable Markov shifts
• Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
• Topological pressure and the variational principle for noncompact sets
• Entropy formula for random transformations
• Characterization of measures satisfying the Pesin entropy formula for random dynamical systems
• Entropy formula of Pesin type for noninvertible random dynamical systems
• On the spectra of randomly perturbed expanding maps
• Random dynamics of transcendental functions
• Smooth ergodic theory of random dynamical systems
• Decay of correlations
• Propriétés ergodiques des mesures de Sinaï
• Linear response for random dynamical systems
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
• Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms
• Dynamics of random transformations: smooth ergodic theory
• Equilibrium states for hyperbolic potentials
• Coupling methods for random topological Markov chains
• Hausdorff and Conformal Measures on Julia Sets with a Rationally Indifferent Periodic Point
• ON LOCAL ENTROPY OF RANDOM TRANSFORMATIONS
• THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED
• Uniform hyperbolicity for random maps with positive Lyapunov exponents
• A proof of Pesin's formula
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• The Hausdorff dimension of conformal repellers under random perturbation
• Entropy formula of Pesin type for one-sided stationary random maps
• Equilibrium states for random non-uniformly expanding maps
• Ruelle's transfer operator for random subshifts of finite type
• Maximizing entropy measures for random dynamical systems
• Limit theorems for some skew products with mixing base maps
• ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES
• Ergodic theory of equilibrium states for rational maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Differentiability of thermodynamical quantities in non uniformly expanding dynamics

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