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Article Dans Une Revue Inventiones Mathematicae Année : 2018

Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows

Résumé

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.

Dates et versions

hal-01162368 , version 1 (10-06-2015)

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Carlangelo Liverani, Viviane Baladi, Mark Demers. Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows. Inventiones Mathematicae, 2018, 211 (1), pp.39-177. ⟨10.1007/s00222-017-0745-1⟩. ⟨hal-01162368⟩
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