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arXiv:1506.02836 [math.DS]AbstractReferencesReviewsResources

Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows

Viviane Baladi, Mark Demers, Carlangelo Liverani

Published 2015-06-09Version 1

We prove exponential decay of correlations for the billiard flow associated with a two-dimensional finite horizon Lorentz Gas (i.e., the Sinai billiard flow with finite horizon). Along the way, we describe the spectrum of the generator of the corresponding semi-group L_t of transfer operators, i.e., the resonances of the Sinai billiard flow, on a suitable Banach space of anisotropic distributions.

Comments: 109 pages
Subjects: 37D50, 37C30, 37D20, 37E35, 46E35, 47B38
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