Exponential decay of correlations for finite horizon Sinai billiard flows

被引：41
|
作者：
Baladi, Viviane [1 ]
Demers, Mark F. [2 ]
Liverani, Carlangelo [3 ]
机构：
[1] UPMC Univ Paris 6, Sorbonne Univ, CNRS, Inst Math Jussieu IMJ PRG, 4 Pl Jussieu, F-75005 Paris, France
[2] Fairfield Univ, Dept Math, Fairfield, CT 06824 USA
[3] Univ Roma Tor Vergata, Dipartimento Matemat, Rome, Italy
来源：
INVENTIONES MATHEMATICAE | 2018年 / 211卷 / 01期
基金：
美国国家科学基金会;
关键词：
STATISTICAL PROPERTIES; BANACH-SPACES; SYSTEMS;
D O I：
10.1007/s00222-017-0745-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：39 / 177
页数：139
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