Explicit Speed of Convergence of the Stochastic Billiard in a Convex Set

DOI10.1007/978-3-030-28535-7_19zbMath1453.37009arXiv1901.02742OpenAlexW2908560263MaRDI QIDQ5126538

Ninon Fétique

Publication date: 20 October 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02742

zbMATH Keywords

Markov chainconvergence to equilibriumstochastic billiard

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Convex sets in (2) dimensions (including convex curves) (52A10) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (2)

On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero ⋮ A coupling approach for the convergence to equilibrium for a collisionless gas

Cites Work

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• Stochastic billiards on general tables
• Stochastic Billiards for Sampling from the Boundary of a Convex Set
• Shake-and-Bake Algorithms for Generating Uniform Points on the Boundary of Bounded Polyhedra
• Billiards in a general domain with random reflections

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