Back to balls in billiards

DOI10.1007/s00220-009-0911-4zbMath1202.37056arXiv0901.0441OpenAlexW3098375572MaRDI QIDQ982423

Benoît Saussol, Françoise Pène

Publication date: 6 July 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0441

zbMATH Keywords

recurrenceconvergence ratebilliards maps

Mathematics Subject Classification ID

Related Items (16)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon ⋮ Quantitative recurrence of some dynamical systems preserving an infinite measure in dimension one ⋮ Local limit theorem for randomly deforming billiards ⋮ Maximal large deviations and slow recurrences in weakly chaotic systems ⋮ Return- and hitting-time limits for rare events of null-recurrent Markov maps ⋮ Spatio-temporal Poisson processes for visits to small sets ⋮ Self-intersections of trajectories of the Lorentz process ⋮ Return- and hitting-time distributions of small sets in infinite measure preserving systems ⋮ Recurrence rates for observations of flows ⋮ Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems ⋮ Mixing in infinite measure for \(\mathbb Z^d\)-extensions, application to the periodic Sinai billiard ⋮ Expansions in the local and the central limit theorems for dynamical systems ⋮ Limiting entry and return times distribution for arbitrary null sets ⋮ Extremes and extremal indices for level set observables on hyperbolic systems ^* ⋮ Application of the Convergence of the Spatio-Temporal Processes for Visits to Small Sets

Cites Work

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• More Exact Statement of Limit Theorems for Homogeneous Markov Chains
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• Hausdorff dimension of measures via Poincaré recurrence
• Non exponential law of entrance times in asymptotically rare events for intermittent maps with infinite invariant measure

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