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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Keywords

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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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

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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