Title

Exponential decay of correlations for finite horizon Sinai billiard flows

Authors

Vviane Baladi
Mark Demers, Fairfield UniversityFollow
Carlangelo Liverani

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.

Comments

Copyright 2018 Springer-Verlag

A link to content has been provided for authorized users.

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