论文标题
D型分散台球的统计特性
Statistical properties of type D dispersing billiards
论文作者
论文摘要
我们考虑分散边界平滑且免费飞行功能的台球表。我们还假设没有牙齿。此类台球在切尔诺夫和马克里安专着中称为D。对于一类非分类D型分散台球的类别，我们证明了相关性的指数衰减和其他几种统计属性。
We consider dispersing billiard tables whose boundary is piecewise smooth and the free flight function is unbounded. We also assume there are no cusps. Such billiard tables are called type D in the monograph of Chernov and Markarian. For a class of non-degenerate type D dispersing billiards, we prove exponential decay of correlation and several other statistical properties.
