A vector-valued almost sure invariance principle for random expanding on average cocycles
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Publication:2679637
DOI10.1007/s10955-023-03067-wOpenAlexW3195215272MaRDI QIDQ2679637
Yeor Hafouta, Julien Sedro, Davor Dragičević
Publication date: 23 January 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.08714
Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generation, random and stochastic difference and differential equations (37H10) Functional limit theorems; invariance principles (60F17)
Related Items (4)
Quenched limit theorems for 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 ⋮ Quenched linear response for smooth expanding on average cocycles
Cites Work
- Unnamed Item
- A functional analytic approach to perturbations of the Lorentz gas
- Oseledets regularity functions for Anosov flows
- Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Almost sure invariance principle for dynamical systems by spectral methods
- A vector-valued almost sure invariance principle for hyperbolic dynamical systems
- A spectral approach for quenched limit theorems for random expanding dynamical systems
- Martingale-coboundary decomposition for families of dynamical systems
- Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
- Invariance principles for interval maps with an indifferent fixed point
- Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
- Exponential decay of correlations for random Lasota-Yorke maps
- Rates in almost sure invariance principle for dynamical systems with some hyperbolicity
- Thermodynamic formalism for random weighted covering systems
- Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles
- Limit theorems for random expanding or Anosov dynamical systems and vector-valued observables
- Strong invariance principles with rate for ``reverse martingale differences and applications
- Annealed and quenched limit theorems for random expanding dynamical systems
- A vector-valued almost sure invariance principle for Sinai billiards with random scatterers
- The ergodic theorem for a sequence of functions
- Quenched linear response for smooth expanding on average cocycles
- A semi-invertible operator Oseledets theorem
- A coupling approach to random circle maps expanding on the average
- Rates in almost sure invariance principle for slowly mixing dynamical systems
- THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED
- Almost sure invariance principles for partial sums of weakly dependent random variables
- Limit theorems for random transformations and processes in random environments
- Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions
- Quantitative Pesin theory for Anosov diffeomorphisms and flows
- 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
- Rates in almost sure invariance principle for quickly mixing 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
- Vector-valued almost sure invariance principles for (non)stationary and random dynamical systems
- Limit theorems for some skew products with mixing base maps
- A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
- Almost sure invariance principle for sequential and non-stationary dynamical systems
- Random Young towers and quenched limit laws
- Differentiability of thermodynamical quantities in non uniformly expanding dynamics
- Oseledets splitting and invariant manifolds on fields of Banach spaces
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