Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows
Liverani, Carlangelo ; Baladi, Viviane ; Demers, Mark
HAL, hal-01162368 / Harvested from HAL
Text on HAL
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.
Publié le : 2018-07-04
Classification:  Billiards,  Sinai billiard,  decay of correlations,  MSC classes: 37D50 (Primary) 37C30, 37D20, 37E35, 46E35, 47B38 (Secondary),  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01162368,
     author = {Liverani, Carlangelo and Baladi, Viviane and Demers, Mark},
     title = {Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01162368}
}

Liverani, Carlangelo; Baladi, Viviane; Demers, Mark. Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01162368/