English

Closed billiard trajectories with prescribed bounces

Dynamical Systems 2021-08-26 v1 Differential Geometry

Abstract

We give the asymptotic growth of the number of primitive periodic trajectories of a two dimensional dispersive billiard, when we prescribe their number of bounces on one of the obstacles.

Keywords

Cite

@article{arxiv.2108.11340,
  title  = {Closed billiard trajectories with prescribed bounces},
  author = {Yann Chaubet},
  journal= {arXiv preprint arXiv:2108.11340},
  year   = {2021}
}
R2 v1 2026-06-24T05:24:58.103Z