具有不相交平行散射体台球的遍历性假设的证明
Proving The Ergodic Hypothesis for Billiards With Disjoint Cylindric Scatterers
摘要：
在本文中，我们研究了数学台球的遍历性描述了一个点的均匀运动的一个平坦的环面，从许多，成对不相交，管状邻域的平移subtori（所谓的圆柱形散射体）已被删除。我们证明，每个这样的系统是遍历（实际上，一个伯努利流），除非一个简单的几何障碍遍历。
英文摘要：
In this paper we study the ergodic properties of mathematical billiards describing the uniform motion of a point in a flat torus from which finitely many, pairwise disjoint, tubular neighborhoods of translated subtori (the so called cylindric scatterers) have been removed. We prove that every such system is ergodic (actually, a Bernoulli flow), unless a simple geometric obstacle for the ergodicity is present.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
