Recurrence and Embeddings in Planar Wind-Tree Models
Dynamical Systems
2024-03-13 v1
Abstract
We study periodic infinite billiards in the plane. We show that for rational models, some particular obstacles can be added periodically, so that the billiard flow in the resulting table is recurrent in almost every direction.
Keywords
Cite
@article{arxiv.2403.06986,
title = {Recurrence and Embeddings in Planar Wind-Tree Models},
author = {Chen Frenkel},
journal= {arXiv preprint arXiv:2403.06986},
year = {2024}
}