Limit theorems for some time-dependent expanding dynamical systems
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Publication:5136532
DOI10.1088/1361-6544/aba5e7zbMath1456.37007arXiv1903.04018OpenAlexW3094252109MaRDI QIDQ5136532
Publication date: 26 November 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04018
Central limit and other weak theorems (60F05) Large deviations (60F10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (6)
The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains ⋮ Quenched limit theorems for expanding on average cocycles ⋮ Convergence rates in the functional CLT for \(\alpha\)-mixing triangular arrays ⋮ On Eagleson's theorem in the non‐stationary setup ⋮ Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Moderate deviations via cumulants
- Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry
- Probability and moment inequalities for sums of weakly dependent random variables, with applications
- Central limit asymptotics for shifts of finite type
- Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
- Cones and gauges in complex spaces: spectral gaps and complex Perron-Frobenius theory
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- 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)
- Convex analysis and measurable multifunctions
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- A spectral approach for quenched limit theorems for random expanding dynamical systems
- Martingale-coboundary decomposition for families of dynamical systems
- An explicit Berry-Esséen bound for uniformly expanding maps on the interval
- Nonconventional moderate deviations theorems and exponential concentration inequalities
- On the asymptotic moments and Edgeworth expansions for some processes in random dynamical environment
- A functional CLT for nonconventional polynomial arrays
- Annealed and quenched limit theorems for random expanding dynamical systems
- Perron-Frobenius theorem, large deviations, and random perturbations in random environments
- Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
- Exponential mixing for skew products with discontinuities
- THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED
- Projective metrics and contraction principles for complex cones
- Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
- Limit theorems for random transformations and processes in random environments
- Nonconventional Limit Theorems and Random Dynamics
- Central limit theorems for sequential and random intermittent 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
- Large deviations in non-uniformly hyperbolic dynamical systems
- Anosov families, renormalization and non-stationary subshifts
- More Exact Statement of Limit Theorems for Homogeneous Markov Chains
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
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