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arXiv · 2002.11035

Sinai billiard maps with Ruelle resonances

Damien Thomine
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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.

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Damien Thomine. 2020-02-25. Sinai billiard maps with Ruelle resonances. https://doi.org/10.1088/1361-6544/aba93d

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