Local large deviations for periodic infinite horizon Lorentz gases
Journal d'Analyse Mathematique - Trang 1-34 - 2023
Tóm tắt
We prove optimal 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 nonuni-formly hyperbolic dynamical systems and observables associated with central limit theorems with nonstandard normalisation.
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