English

Back to Boundaries in Billiards

Dynamical Systems 2024-04-02 v2 Mathematical Physics math.MP Probability

Abstract

We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered.

Keywords

Cite

@article{arxiv.2203.00785,
  title  = {Back to Boundaries in Billiards},
  author = {Leonid Bunimovich and Yaofeng Su},
  journal= {arXiv preprint arXiv:2203.00785},
  year   = {2024}
}

Comments

CMP 2024

R2 v1 2026-06-24T09:58:37.274Z