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arXiv · 1506.02836

Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows

Viviane Baladi·Mark Demers·Carlangelo Liverani
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Abstract

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. (Revised after referees' comments.)

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Viviane Baladi, Mark Demers, Carlangelo Liverani. 2015-06-09. Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows. https://doi.org/10.1007/s00222-017-0745-1

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