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arXiv · 2108.13748

Local large deviations for periodic infinite horizon Lorentz gases

Ian Melbourne·Francoise Pene·Dalia Terhesiu
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Abstract

We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a ${\mathbb Z}^d$-cover ($d=1,2$) of a dispersing billiard. In addition to this specific example, we prove a general result for a class of nonuniformly hyperbolic dynamical systems and observables associated with central limit theorems with nonstandard normalisation.

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Ian Melbourne, Francoise Pene, Dalia Terhesiu. 2021-08-31. Local large deviations for periodic infinite horizon Lorentz gases. https://arxiv.org/abs/2108.13748

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