Vitesse dans le théorème limite central pour certains systèmes dynamiques quasi-hyperboliques

DOI10.24033/bsmf.2492zbMath1090.37018OpenAlexW2519752144MaRDI QIDQ5290485

Stéphane Le Borgne, Françoise Pène

Publication date: 28 April 2006

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/bsmf.2492

zbMATH Keywords

convergence ratecentral limit theoremquasi-hyperbolicitypartially hyperbolic systems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Homogeneous spaces (22F30) Semisimple Lie groups and their representations (22E46) Ergodic theorems, spectral theory, Markov operators (37A30) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (10)

Exponential decay of correlations for finite horizon Sinai billiard flows ⋮ A Berry-Esseen bound with (almost) sharp dependence conditions ⋮ EMPIRICAL INVARIANCE PRINCIPLE FOR ERGODIC TORUS AUTOMORPHISMS: GENERICITY ⋮ Exact convergence rates in the central limit theorem for a class of martingales ⋮ Empirical processes of multidimensional systems with multiple mixing properties ⋮ Rate of convergence in the multidimensional central limit theorem for stationary processes. Application to the Knudsen gas and to the Sinai billiard ⋮ Berry-Esseen theorems under weak dependence ⋮ On mean central limit theorems for stationary sequences ⋮ Rates of Convergence in the Strong Invariance Principle for Non-adapted Sequences Application to Ergodic Automorphisms of the Torus ⋮ Transient random walk in ${\mathbb Z}^2$ with stationary orientations

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