有限视界 Sinai 台球流的关联指数衰减
动力系统
2020-02-25 v3 数学物理
math.MP
谱理论
混沌动力学
摘要
我们证明了与二维有限视界洛伦兹气体（即具有有限视界的 Sinai 台球流）相关的台球流的关联指数衰减。在此过程中，我们在合适的各向异性分布 Banach 空间上描述了相应转移算子半群 的生成元谱，即 Sinai 台球流的共振态。（根据审稿人意见修订。）
引用
@article{arxiv.1506.02836,
title = {Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows},
author = {Viviane Baladi and Mark Demers and Carlangelo Liverani},
journal= {arXiv preprint arXiv:1506.02836},
year = {2020}
}
备注
v2: Revised version after referees' comments. (The homogeneity layers do not appear anymore in the def. of the norm.) The text published in Invent. Math. is v2, but has more pages (due to smaller margins in v2). v3: Contains an additional 2-page note correcting flaws found by M. Jezequel (L 3.2) and D. Thomine (L 4.6 and L 7.5)