Limit theorems in the stadium billiard
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Publication:863120
DOI10.1007/s00220-005-1511-6zbMath1170.37314arXivmath/0502453OpenAlexW2168500257MaRDI QIDQ863120
Sébastien Gouëzel, Péter Bálint
Publication date: 25 January 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0502453
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Cites Work
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- On the ergodic properties of nowhere dispersing billiards
- Statistical properties of dynamical systems with some hyperbolicity
- Entropy, Lyapunov exponents, and mean free path for billiards
- Recurrence times and rates of mixing
- On the spectra of randomly perturbed expanding maps
- Central limit theorem and stable laws for intermittent maps
- Statistical limit theorems for suspension flows
- Decay of correlations and dispersing billiards.
- Limit theorems for locally perturbed planar Lorentz processes
- Limit laws and recurrence for the planar Lorentz process with infinite horizon
- Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
- Statistical properties of a skew product with a curve of neutral points
- The rate of convergence in ergodic theorems
- Billiards with polynomial decay of correlations
- Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
- Billiards with polynomial mixing rates
- Regularity of coboundaries for nonuniformly expanding Markov maps
