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UID:20250806T000258EDT-3063rV532a@132.216.98.100
DTSTAMP:20250806T040258Z
DESCRIPTION:Title: How Lagrangian states evolve into random waves.\n\nAbstr
 act: In 1977\, Berry conjectured that eigenfunctions of the Laplacian on m
 anifolds of negative curvature behave\, in the high-energy (or semiclassic
 al) limit\, as a random superposition of plane waves. This conjecture\, ce
 ntral in quantum chaos\, is still completely open. In this talk\, we will 
 consider a much simpler situation. On a manifold of negative curvature\, w
 e will consider a Lagrangian state associated to a generic phase. We show 
 that\, when evolved during a long time by the Schr¨odinger equation\, thes
 e functions do behave\, in the semiclassical limit\, as a random superposi
 tion of plane waves. This talk is based on joint work with Alejandro River
 a\, and on work in progress with Martin Vogel.\n\n \n\n \n\nhttps://archim
 ede.mat.ulaval.ca/agirouard/SpectralClouds/\n
DTSTART:20220912T160000Z
DTEND:20220912T170000Z
SUMMARY:Maxime Ingremau\, Université de Nice Sophia-Antipolis
URL:/mathstat/channels/event/maxime-ingremau-universit
 e-de-nice-sophia-antipolis-341767
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