A NOTE ON THE SEMICLASSICAL MEASURE AT SINGULAR POINTS OF THE BOUNDARY OF THE BUNIMOVICH STADIUM

Dan Mangoubi; Adi Weller Weiser

doi:10.5802/aif.3601

A NOTE ON THE SEMICLASSICAL MEASURE AT SINGULAR POINTS OF THE BOUNDARY OF THE BUNIMOVICH STADIUM

Dan Mangoubi, Adi Weller Weiser^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 C²-boundaries. The purpose of this note is to clarify the argument.

Original language	English
Pages (from-to)	367-375
Number of pages	9
Journal	Annales de l'Institut Fourier
Volume	74
Issue number	1
DOIs	https://doi.org/10.5802/aif.3601
State	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024 Association des Annales de l'Institut Fourier. All rights reserved.

Keywords

Bunimovich’s stadium
non-gliding
non-smooth boundary
quantum unique ergodicity

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10.5802/aif.3601

Cite this

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A NOTE ON THE SEMICLASSICAL MEASURE AT SINGULAR POINTS OF THE BOUNDARY OF THE BUNIMOVICH STADIUM

Abstract

Bibliographical note

Keywords

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