Random circular billiards on surfaces of constant curvature: pseudo integrability and mixing

DOI10.1142/s021949372450028xMaRDI QIDQ6630820

Túlio Vales

Publication date: 31 October 2024

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

integrabilityLyapunov exponentsmixingrandom billiard

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems with singularities (billiards, etc.) (37C83) Random iteration (37H12)

Cites Work

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• Deterministic version lemmas in ergodic theory of random dynamical systems
• Deterministic representation for position dependent random maps
• Hyperbolic billiards on surfaces of constant curvature
• Knudsen's law and random billiards in irrational triangles
• Periodic orbits of oval billiards on surfaces of constant curvature
• A random billiard map in the circle

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