Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations
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Publication:5016438
DOI10.1007/978-3-030-74863-0_5zbMath1490.60070arXiv2005.01114OpenAlexW3021557263MaRDI QIDQ5016438
Yeor Hafouta, Davor Dragičević
Publication date: 13 December 2021
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.01114
Strong limit theorems (60F15) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (6)
Invariant measures for random expanding on average Saussol maps ⋮ Quenched limit theorems for expanding on average cocycles ⋮ 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 ⋮ Almost sure invariance principle for random dynamical systems via Gouëzel's approach
Cites Work
- Unnamed Item
- 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
- Some results on increments of the Wiener process with applications to lag sums of i.i.d. random variables
- Convex analysis and measurable multifunctions
- Approximation theorems for independent and weakly dependent random vectors
- Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
- Rates in almost sure invariance principle for dynamical systems with some hyperbolicity
- Strong invariance principles with rate for ``reverse martingale differences and applications
- Annealed and quenched limit theorems for random expanding dynamical systems
- Bounds for the Rate of Strong Approximation in the Multidimensional Invariance Principle
- Moment inequalities and the strong laws of large numbers
- 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
- Almost sure invariance principle for random piecewise expanding maps
- Nonconventional Limit Theorems and Random Dynamics
- Almost sure invariance principle for random dynamical systems via Gouëzel's approach
- Moment Inequalities for the Maximum Cumulative Sum
- Almost sure invariance principle for sequential and non-stationary dynamical systems
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