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SUMMARY:The semiclassical limit for eigenfunctions of the laplacian : a su
 rvey - Anantharaman\, N (Paris-Sud)
DTSTART:20110329T153000Z
DTEND:20110329T163000Z
UID:TALK30443@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This will be a (non exhaustive) survey talk about the behaviou
 r of eigenfunctions of the laplacian on a compact manifold\, in the asympt
 otic regime where the eigenvalue goes to infinity. The issue of ``quantum 
 ergodicity'' is to understand the places where the eigenfunctions can conc
 entrate. Recently\, there has been increasing interest about possible anal
 ogues for the discrete laplacian on finite graphs (for instance\, with the
  work of Brooks and Lindenstrauss).  According to the physics literature\,
  the interesting asymptotic regime to look at is the case of families of g
 raphs whose size goes to infinity. As far as graphs are concerned\, the ta
 lk will contain more open questions than results.\n
LOCATION:Seminar Room 1\, Newton Institute
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