A vector-valued almost sure invariance principle for Sinai billiards with random scatterers
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Publication:2439682
DOI10.1007/s00220-013-1870-3zbMath1296.37028arXiv1210.0902OpenAlexW2139678221MaRDI QIDQ2439682
Publication date: 17 March 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.0902
Related Items (12)
Intermittent quasistatic dynamical systems: weak convergence of fluctuations ⋮ Deterministically driven random walks in a random environment on \(\mathbb{Z}\) ⋮ Dispersing billiards with moving scatterers ⋮ An almost sure ergodic theorem for quasistatic dynamical systems ⋮ Sunklodas' approach to normal approximation for time-dependent dynamical systems ⋮ A note on the finite-dimensional distributions of dispersing billiard processes ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Stein’s method of normal approximation for dynamical systems ⋮ Central limit theorems with a rate of convergence for time-dependent intermittent maps ⋮ Non-stationary almost sure invariance principle for hyperbolic systems with singularities ⋮ Statistical properties for compositions of standard maps with increasing coefficient ⋮ Almost sure invariance principle for random dynamical systems via Gouëzel's approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dispersing billiards with moving scatterers
- Spectral analysis of the transfer operator for the Lorentz gas
- A note on the almost sure central limit theorem
- A local limit theorem for a transient chaotic walk in a frozen environment
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Memory loss for time-dependent dynamical systems
- Basic properties of strong mixing conditions. A survey and some open questions
- A strong pair correlation bound implies the CLT for Sinai billiards
- 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
- A central limit theorem for time-dependent dynamical systems
- Advanced statistical properties of dispersing billiards
- Rate of convergence in the multidimensional central limit theorem for stationary processes. Application to the Knudsen gas and to the Sinai billiard
- Smooth Livšic regularity for piecewise expanding maps
- Non-stationary compositions of Anosov diffeomorphisms
- Probability, Random Processes, and Ergodic Properties
- Sums of Stationary Random Variables
- Exponential decay of correlations for randomly chosen hyperbolic toral automorphisms
- Deterministic walks in quenched random environments of chaotic maps
- Central Limit Theorems for dependent variables. I
- Almost sure invariance principles for partial sums of weakly dependent random variables
- Aperiodic Lorentz gas: recurrence and ergodicity
- On the Dispersion of Time-Dependent Means of a Stationary Stochastic Process
- An invariance principle for the law of the iterated logarithm
- Central limit theorems and invariance principles for Lorenz attractors
- Typicality of recurrence for Lorentz gases
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