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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The semiclassical limit for eigenfunctions of the
laplacian : a survey - Anantharaman\, N (Paris-Sud
)
DTSTART;TZID=Europe/London:20110329T163000
DTEND;TZID=Europe/London:20110329T173000
UID:TALK30443AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/30443
DESCRIPTION:This will be a (non exhaustive) survey talk about
the behaviour of eigenfunctions of the laplacian o
n a compact manifold\, in the asymptotic regime wh
ere the eigenvalue goes to infinity. The issue of
``quantum ergodicity'' is to understand the places
where the eigenfunctions can concentrate. Recentl
y\, there has been increasing interest about possi
ble analogues for the discrete laplacian on finite
graphs (for instance\, with the work of Brooks an
d Lindenstrauss). According to the physics litera
ture\, the interesting asymptotic regime to look a
t is the case of families of graphs whose size goe
s to infinity. As far as graphs are concerned\, th
e talk will contain more open questions than resul
ts.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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