Linear response for Sinai billiards with small holes
Dynamical Systems
2026-05-25 v2
Abstract
We show that the conditional survival probability measure for a Sinai billiard with a small hole on the boundary of the table is differentiable with respect to the size t of the hole at t = 0 and we compute the derivative.
Keywords
Cite
@article{arxiv.2604.19671,
title = {Linear response for Sinai billiards with small holes},
author = {Giovanni Canestrari},
journal= {arXiv preprint arXiv:2604.19671},
year = {2026}
}
Comments
Comments welcome!