Linear response for Sinai billiards with small holes

Giovanni Canestrari

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arXiv · 2604.19671

Linear response for Sinai billiards with small holes

Giovanni Canestrari

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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.

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Giovanni Canestrari. 2026-04-21. Linear response for Sinai billiards with small holes. https://arxiv.org/abs/2604.19671

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