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 -boundaries. The purpose of this note is to clarify the argument.
Un argument de Hassell montrant l’existence d’un stade de Bunimovich sur lequel on trouve une mesure semiclassique chargeant la sous-variété des trajectoires de boules rebondissantes fait appel à la notion de points non-gliding. Pourtant, cette notion suppose un domaine lisse . Le but de cette note est de clarifier ce point.
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Keywords: Bunimovich’s stadium, quantum unique ergodicity, non-smooth boundary, non-gliding
Mot clés : stade de Bunimovich, unique ergodicité quantique, bord non-lisse, non-gliding
Mangoubi, Dan 1; Weller Weiser, Adi 1
@article{AIF_2024__74_1_367_0, author = {Mangoubi, Dan and Weller Weiser, Adi}, title = {A note on the semiclassical measure at singular points of the boundary of the {Bunimovich} stadium}, journal = {Annales de l'Institut Fourier}, pages = {367--375}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {74}, number = {1}, year = {2024}, doi = {10.5802/aif.3601}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3601/} }
TY - JOUR AU - Mangoubi, Dan AU - Weller Weiser, Adi TI - A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium JO - Annales de l'Institut Fourier PY - 2024 SP - 367 EP - 375 VL - 74 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3601/ DO - 10.5802/aif.3601 LA - en ID - AIF_2024__74_1_367_0 ER -
%0 Journal Article %A Mangoubi, Dan %A Weller Weiser, Adi %T A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium %J Annales de l'Institut Fourier %D 2024 %P 367-375 %V 74 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3601/ %R 10.5802/aif.3601 %G en %F AIF_2024__74_1_367_0
Mangoubi, Dan; Weller Weiser, Adi. A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium. Annales de l'Institut Fourier, Volume 74 (2024) no. 1, pp. 367-375. doi : 10.5802/aif.3601. https://aif.centre-mersenne.org/articles/10.5802/aif.3601/
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