Convergence to a-stable Lévy motion for chaotic billiards with several cusps at flat points

DOI10.1088/1361-6544/ab5148zbMath1473.37036arXiv1809.08021OpenAlexW2997337421MaRDI QIDQ5207525

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Publication date: 2 January 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08021

zbMATH Keywords

statistical propertiesdynamical systemsbilliardsstable law

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical aspects of statistical mechanics (37A60) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (4)

Cusps in heavy billiards ⋮ Convergence to a Lévy process in the Skorohod \(\mathcal{M}_1\) and \(\mathcal{M}_2\) topologies for nonuniformly hyperbolic systems, including billiards with cusps ⋮ Necessary and sufficient condition for ℳ2-convergence to a Lévy process for billiards with cusps at flat points ⋮ Application of the Convergence of the Spatio-Temporal Processes for Visits to Small Sets

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