Exponential decay of correlations for finite horizon Sinai billiard flows
Document Type
Article
Publication Date
2018
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 \mathcal {L}_t of transfer operators, i.e., the resonances of the Sinai billiard flow, on a suitable Banach space of anisotropic distributions.
Publication Title
Inventiones mathematicae
Repository Citation
Baladi, Vviane; Demers, Mark; and Liverani, Carlangelo, "Exponential decay of correlations for finite horizon Sinai billiard flows" (2018). Mathematics Faculty Publications. 56.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/56
Published Citation
Baladi, V., Demers, M. F., & Liverani, C. (2018). Exponential decay of correlations for finite horizon Sinai billiard flows. Inventiones mathematicae, 211(1), 39-177. https://doi.org/10.1007/s00222-017-0745-1.
DOI
10.1007/s00222-017-0745-1
Peer Reviewed
Comments
Copyright 2018 Springer-Verlag
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