论文标题
返回台球的边界
Back to Boundaries in Billiards
论文作者
论文摘要
我们证明了泊松限制开放台球的法律，在台球表的边界上是孔（而不是台球阶段空间中的一些抽象孔）。这种漏洞是台球系统的主要兴趣，尤其是应用程序。考虑到有或没有有限的地平线，钻石台球和半分散台球的西奈台球，并考虑了相关性缓慢的台球。
We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered.
