论文标题
西奈台球与ruelle共鸣地图
Sinai billiard maps with Ruelle resonances
论文作者
论文摘要
我们建立了二维西奈台球的家族，其转移操作员任意接近1的转移共振。我们的方法涉及拿起足够大的初始台球表的大量封面，并将盖台的转移操作员与初始表的扭曲转移操作员联系起来。我们还研究了这些谐振接近1的分布。
We construct families of two-dimensional Sinai billiards whose transfer operators have Ruelle resonances arbitrarily close to 1. Our method involves taking a large enough cover of an initial billiard table, and relating the transfer operator of the covering table to twisted transfer operators of the initial table. We also study the distribution of these resonances which are close to 1.
