THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED

DOI10.1142/S0219493708002238zbMath1170.37019OpenAlexW1970562443MaRDI QIDQ3520443

Yuri Kifer

Publication date: 26 August 2008

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

Full work available at URL: https://doi.org/10.1142/s0219493708002238

zbMATH Keywords

Gibbs measurerandom dynamical systemRuelle-Perron-Frobenius theoremrandom dynamicsrandom subshift of finite typerandom transformations expanding on average

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Random dynamical systems (37H99)

Related Items (34)

Multifractal analysis of random weak Gibbs measures ⋮ Stochastic fixed points and nonlinear Perron–Frobenius theorem ⋮ A semi-invertible operator Oseledets theorem ⋮ Semigroup actions of expanding maps ⋮ VARIATIONAL PRINCIPLE FOR SUBADDITIVE SEQUENCE OF POTENTIALS IN BUNDLE RANDOM DYNAMICAL SYSTEMS ⋮ A coupling approach to random circle maps expanding on the average ⋮ Almost sure mixing rates for non-uniformly expanding maps ⋮ On the asymptotic moments and Edgeworth expansions for some processes in random dynamical environment ⋮ Countable alphabet random subhifts of finite type with weakly positive transfer operator ⋮ Quenched limit theorems for expanding on average cocycles ⋮ Exponential decay of random correlations for random Anosov systems mixing on fibers ⋮ Equilibrium states for non-transitive random open and closed dynamical systems ⋮ Exponential law for random subshifts of finite type ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding-on-average fibers ⋮ Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates ⋮ Distribution of cycles for one-dimensional random dynamical systems ⋮ Random subshifts of finite type ⋮ Uniqueness and stability of equilibrium states for random non-uniformly expanding maps ⋮ Quenched linear response for smooth expanding on average cocycles ⋮ Coupling methods for random topological Markov chains ⋮ Limit theorems for some time-dependent expanding dynamical systems ⋮ Limit theorems for some skew products with mixing base maps ⋮ Stochastic nonlinear Perron-Frobenius theorem ⋮ ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES ⋮ Random dynamics of transcendental functions ⋮ Nonconventional limit theorems ⋮ Thermodynamic formalism for random non-uniformly expanding maps ⋮ Real analyticity for random dynamics of transcendental functions ⋮ Ergodicity of non-autonomous discrete systems with non-uniform expansion ⋮ Linearization and local stability of random dynamical systems ⋮ Longest common substring for random subshifts of finite type ⋮ Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups ⋮ Annealed and quenched limit theorems for random expanding dynamical systems

Cites Work

• Unnamed Item
• A random fixed point theorem and the random graph transformation
• Decay of correlations
• Topological fixed point theorems do not hold for random dynamical systems
• Hilbert's metric and positive contraction mappings in a Banach space
• Carathéodory selections for multivalued mappings
• Limit theorems for random transformations and processes in random environments
• Fractal Dimensions and Random Transformations
• Lectures on Choquet's theorem

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