关于Bunimovich体育场边界奇异点的半经典测度的一个注记

Pub Date : 2022-06-14 DOI:10.5802/aif.3601

D. Mangoubi, Adi Weller Weiser

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引用次数: 0

摘要

Hassell的一个论点证明了Bunimovich体育场的存在，对于该体育场，存在给弹球轨迹的子流形正质量的半经典测度，该论点使用了非滑动点的概念。但是，这个概念只针对具有$C^2$边界的域定义。本说明的目的是澄清这一论点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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