Sinai billiard maps with Ruelle resonances
Dynamical Systems
2020-12-02 v1
Abstract
We construct families of two-dimensional Sinai billiards whose transfer operators have Ruelle resonances arbitrarily close to 1. Our method involves taking a large enough cover of an initial billiard table, and relating the transfer operator of the covering table to twisted transfer operators of the initial table. We also study the distribution of these resonances which are close to 1.
Keywords
Cite
@article{arxiv.2002.11035,
title = {Sinai billiard maps with Ruelle resonances},
author = {Damien Thomine},
journal= {arXiv preprint arXiv:2002.11035},
year = {2020}
}
Comments
14 pages, 3 figures