论文标题

在Bunimovich体育场边界的奇异点上的半经典测度的注释

A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium

论文作者

Mangoubi, Dan, Weiser, Adi Weller

论文摘要

哈塞尔(Hassell)的论点证明了一个布尼莫维奇体育场的存在,其中有半经典的措施使弹跳球轨迹的亚元素具有正质量,使用了非网状点的概念。但是,此概念仅针对具有$ c^2 $ boundaries的域名定义。本说明的目的是阐明该论点。

An argument by Hassell proving the existence of a Bunimovich stadium for which there are semiclassical measures giving positive mass to the submanifold of bouncing ball trajectories uses a notion of non-gliding points. However, this notion is defined only for domains with $C^2$-boundaries. The purpose of this note is to clarify the argument.

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