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.
Baladi, V., Demers, M.f., Liverani, C. (2018). Exponential decay of correlations for finite horizon Sinai billiard flows. INVENTIONES MATHEMATICAE, 211(1), 39-177 [10.1007/s00222-017-0745-1].
Exponential decay of correlations for finite horizon Sinai billiard flows
Liverani C.
2018-01-01
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.File in questo prodotto:
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