Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards
Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards
复制标题
多维分散台球中相关性的指数衰减
DOI：
10.1007/s00023-008-0389-1
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
I. Tóth
中科院分区：
文献类型：
--
作者：
P. Bálint;I. Tóth
摘要：我们证明了一类“合理”的多维离散台球的相关性是指数衰减的。散射体要求是C3光滑的，地平线有限，没有角点。此外，我们还假设了奇点集的次指数复杂性。
Abstract.We prove exponential decay of correlations for a “reasonable” class of multi-dimensional dispersing billiards. The scatterers are required to be C3 smooth, the horizon is finite, there are no corner points. In addition, we assume subexponential complexity of the singularity set.