Starting the study of outer length billiards
Dynamical Systems
2025-09-24 v1
Abstract
We focus on the outer length billiard dynamics, acting on the exterior of a strictly-convex planar domain. We first show that ellipses are totally integrable. We then provide an explicit representation of first order terms for the formal Taylor expansion of the corresponding Mather's -function. Finally, we provide explicit Lazutkin coordinates up to order 4.
Cite
@article{arxiv.2504.11915,
title = {Starting the study of outer length billiards},
author = {Luca Baracco and Olga Bernardi and Corentin Fierobe},
journal= {arXiv preprint arXiv:2504.11915},
year = {2025}
}