Quenched limit theorems for expanding on average cocycles

DOI10.1142/s0219493723500466arXiv2105.00548MaRDI QIDQ6060955

Davor Dragičević, Julien Sedro

Publication date: 30 November 2023

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

Full work available at URL: https://arxiv.org/abs/2105.00548

zbMATH Keywords

random dynamical systemsquenched limit theoremsexpanding on average cocycles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Related Items (1)

Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding-on-average fibers

Cites Work

• Unnamed Item
• A semi-invertible Oseledets theorem with applications to transfer operator cocycles
• On the central limit theorem for Markov chains in random environments
• Quenched CLT for random toral automorphism
• Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
• Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)
• A spectral approach for quenched limit theorems for random expanding dynamical systems
• Quasistatic dynamics with intermittency
• Exponential decay of correlations for random Lasota-Yorke maps
• Absolutely continuous invariant measures for multidimensional expanding maps
• Loss of memory and moment bounds for nonstationary intermittent dynamical systems
• Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails
• Almost sure rates of mixing for partially hyperbolic attractors
• Local limit theorem for randomly deforming billiards
• Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables
• Linear response for random dynamical systems
• Quenched normal approximation for random sequences of transformations
• Annealed and quenched limit theorems for random expanding dynamical systems
• A central limit theorem for time-dependent dynamical systems
• Sunklodas' approach to normal approximation for time-dependent dynamical systems
• Regularity of characteristic exponents and linear response for transfer operator cocycles
• A vector-valued almost sure invariance principle for random expanding on average cocycles
• Quenched linear response for smooth expanding on average cocycles
• Mixing rates and limit theorems for random intermittent maps
• A semi-invertible operator Oseledets theorem
• Limit theorems in dynamical systems using the spectral method
• THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED
• Limit theorems for random transformations and processes in random environments
• Almost sure rates of mixing for i.i.d. unimodal maps
• Almost sure invariance principle for random piecewise expanding maps
• Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
• Nonconventional Limit Theorems and Random Dynamics
• Central limit theorems for sequential and random intermittent dynamical systems
• Almost sure invariance principle for random dynamical systems via Gouëzel's approach
• Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations
• Invariant measures for random expanding on average Saussol maps
• Limit theorems for some time-dependent expanding dynamical systems
• Limit theorems for some skew products with mixing base maps
• A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
• Quadratic response of random and deterministic dynamical systems
• Quenched decay of correlations for slowly mixing systems
• Almost sure invariance principle for sequential and non-stationary dynamical systems
• More Exact Statement of Limit Theorems for Homogeneous Markov Chains
• Statistical stability and linear response for random hyperbolic dynamics
• Random Young towers and quenched limit laws
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
• Quenched limit theorems for random U(1) extensions of expanding maps
• Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates
• Projective cones for sequential dispersing billiards

This page was built for publication: Quenched limit theorems for expanding on average cocycles