A random billiard map in the circle

DOI10.1080/14689367.2022.2050357zbMath1498.37048arXiv2005.01892OpenAlexW3022024273MaRDI QIDQ5863452

Túlio Vales, Sônia Pinto de Carvalho

Publication date: 1 June 2022

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01892

zbMATH Keywords

Lyapunov exponentsrandom mapscircular billiardsrandom billiardsKnudsen's law

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Dynamical systems with singularities (billiards, etc.) (37C83) Random iteration (37H12)

Cites Work

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• Deterministic representation for position dependent random maps
• Convex billiards and a theorem by E. Hopf
• Invariant Densities for Random Maps of the Interval
• Knudsen's law and random billiards in irrational triangles

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