TY - JOUR
T1 - Exponential decay of correlations for finite horizon Sinai billiard flows
AU - Baladi, Vviane
AU - Demers, Mark
AU - Liverani, Carlangelo
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/56
UR - https://libraryapps.fairfield.edu/openurl?institution=01FUNI_INST&vid=01FUNI_INST:MAIN&sid=google&auinit=V&aulast=Baladi&atitle=Exponential%20decay%20of%20correlations%20for%20finite%20horizon%20Sinai%20billiard%20flows&id=doi:10.1007%2Fs00222-017-0745-1&title=Inventiones%20mathematicae.&volume=211&issue=1&date=2018&spage=39&issn=0020-9910
U2 - 10.1007/s00222-017-0745-1
DO - 10.1007/s00222-017-0745-1
M3 - Article
VL - 211
JO - Inventiones mathematicae
JF - Inventiones mathematicae
ER -