A spectral approach for quenched limit theorems for random expanding dynamical systems

DOI10.1007/s00220-017-3083-7zbMath1401.60032arXiv1705.02130OpenAlexW3101679927MaRDI QIDQ1650162

Cecilia González-Tokman, Davor Dragičević, Sandro Vaienti, Gary Froyland

Publication date: 2 July 2018

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

Full work available at URL: https://arxiv.org/abs/1705.02130

zbMATH Keywords

large deviations principlequenched limit theoremstwisted transfer operator cocycles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Topological dynamics of nonautonomous systems (37B55)

Related Items (40)

Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations ⋮ Random Young towers and quenched limit laws ⋮ Vector-valued almost sure invariance principles for (non)stationary and random dynamical systems ⋮ Invariant measures for random expanding on average Saussol maps ⋮ Regularity of characteristic exponents and linear response for transfer operator cocycles ⋮ On the asymptotic moments and Edgeworth expansions for some processes in random dynamical environment ⋮ Quenched limit theorems for random U(1) extensions of expanding maps ⋮ Quenched limit theorems for expanding on average cocycles ⋮ Equilibrium states for non-transitive random open and closed dynamical systems ⋮ Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12--17, 2023 ⋮ On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations ⋮ 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 ⋮ Simultaneous action of finitely many interval maps: some dynamical and statistical properties ⋮ Random‐like properties of chaotic forcing ⋮ Projective cones for sequential dispersing billiards ⋮ Dynamical random walk on the integers with a drift ⋮ Quenched linear response for smooth expanding on average cocycles ⋮ Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables ⋮ Central limit theorems with a rate of convergence for time-dependent intermittent maps ⋮ Limit theorems for some time-dependent expanding dynamical systems ⋮ Limit theorems for some skew products with mixing base maps ⋮ Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles ⋮ On Eagleson's theorem in the non‐stationary setup ⋮ On the spectral radius of compact operator cocycles ⋮ A version of the theorem of Johnson, Palmer, and Sell for quasicompact cocycles ⋮ Loss of memory and moment bounds for nonstationary intermittent dynamical systems ⋮ A spectral approach for quenched limit theorems for random hyperbolic dynamical systems ⋮ On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part ⋮ Thermodynamic formalism for random weighted covering systems ⋮ Quenched normal approximation for random sequences of transformations ⋮ Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails ⋮ Almost sure rates of mixing for partially hyperbolic attractors ⋮ Asymptotics for the second-largest Lyapunov exponent for some Perron–Frobenius operator cocycles ⋮ Quenched decay of correlations for slowly mixing systems ⋮ On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients ⋮ Almost sure invariance principle for random dynamical systems via Gouëzel's approach ⋮ Mixing and observation for Markov operator cocycles* ⋮ Quenched Poisson processes for random subshifts of finite type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A volume-based approach to the multiplicative ergodic theorem on Banach spaces
• Smooth approximation of stochastic differential equations
• A semi-invertible Oseledets theorem with applications to transfer operator cocycles
• A concise proof of the multiplicative ergodic theorem on Banach spaces
• Asymptotic behaviors of dynamical systems with random parameters
• Almost sure invariance principle for dynamical systems by spectral methods
• A vector-valued almost sure invariance principle for hyperbolic dynamical systems
• 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)
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Quasistatic dynamics with intermittency
• A generalized local limit theorem for Lasota-Yorke transformations
• Exponential decay of correlations for random Lasota-Yorke maps
• Absolutely continuous invariant measures for multidimensional expanding maps
• Annealed and quenched limit theorems for random expanding dynamical systems
• Deterministic homogenization for fast-slow systems with chaotic noise
• A central limit theorem for time-dependent dynamical systems
• Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
• Mixing rates and limit theorems for random intermittent maps
• METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
• A semi-invertible operator Oseledets theorem
• On the quenched central limit theorem for random dynamical systems
• Large Deviations in Dynamical Systems and Stochastic Processes
• Coherent structures and isolated spectrum for Perron–Frobenius cocycles
• Some Simple Conditions for Limit Theorems to Be Mixing
• Limit theorems for random transformations and processes in random environments
• Almost sure invariance principle for random piecewise expanding maps
• Hölder continuity of Oseledets splittings for semi-invertible operator cocycles
• Central limit theorems for sequential and random intermittent dynamical systems
• RANDOM PROCESSES GENERATED BY A HYPERBOLIC SEQUENCE OF MAPPINGS. I
• RANDOM PROCESSES GENERATED BY A HYPERBOLIC SEQUENCE OF MAPPINGS. II
• Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
• Homogenization for deterministic maps and multiplicative noise
• Large deviations in non-uniformly hyperbolic dynamical systems
• More Exact Statement of Limit Theorems for Homogeneous Markov Chains
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness

This page was built for publication: A spectral approach for quenched limit theorems for random expanding dynamical systems