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

Access to Document

10.5802/aif.3601

Cite this

@article{6026eb3446c64137b415f4db1387c92d,

title = "A NOTE ON THE SEMICLASSICAL MEASURE AT SINGULAR POINTS OF THE BOUNDARY OF THE BUNIMOVICH STADIUM",

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.",

keywords = "Bunimovich{\textquoteright}s stadium, non-gliding, non-smooth boundary, quantum unique ergodicity",

author = "Dan Mangoubi and {Weller Weiser}, Adi",

year = "2024",

doi = "10.5802/aif.3601",

language = "الإنجليزيّة",

volume = "74",

pages = "367--375",

journal = "Annales de l'Institut Fourier",

issn = "0373-0956",

publisher = "Association des Annales de l'Institut Fourier",

number = "1",

}

TY - JOUR

T1 - A NOTE ON THE SEMICLASSICAL MEASURE AT SINGULAR POINTS OF THE BOUNDARY OF THE BUNIMOVICH STADIUM

AU - Mangoubi, Dan

AU - Weller Weiser, Adi

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Bunimovich’s stadium

KW - non-gliding

KW - non-smooth boundary

KW - quantum unique ergodicity

UR - http://www.scopus.com/inward/record.url?scp=85195282812&partnerID=8YFLogxK

U2 - 10.5802/aif.3601

DO - 10.5802/aif.3601

M3 - مقالة

SN - 0373-0956

VL - 74

SP - 367

EP - 375

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 1

ER -

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

Other files and links

Cite this