J. d'Analyse Math. 152 (2024) 283-316.
Ian Melbourne, Françoise Pène and Dalia Terhesiu
Abstract
We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a Zd-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.