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SUMMARY:Spectral properties of large random objects
DTSTART;VALUE=DATE-TIME:20170717T063000Z
DTEND;VALUE=DATE-TIME:20170728T160000Z
DTSTAMP;VALUE=DATE-TIME:20210226T010833Z
UID:indico-event-1751@indico.math.cnrs.fr
DESCRIPTION:\n\nThe Summer school on "Spectral properties of large random
objects" will be held at the Institut des Hautes Etudes Scientifiques (IHE
S) from July 17 to July 28\, 2017. IHES is located in Bures-sur-Yvette\, s
outh of Paris (40 minutes by train from Paris).\n\nThe school is open to e
verybody but intended primarily for young participants\, including PhD stu
dents and postdoctoral fellows.\n\nStudying spectral properties of large r
andom objects has been a very active playground in probability theory\, ma
thematical physics and computer science during the last decades. \n\nThe
motivations are manifold: viewing random matrices as a model for complicat
ed quantum Hamiltonians\, studying random Schrödinger operators to unders
tand the Anderson localization phenomenon\, viewing eigenvectors of random
matrices as models for eigenmodes of quantized chaotic systems\, or under
standing the geometry of large (random) graphs such as expanders via the s
pectral properties of their adjacency matrices. In those studies the empha
sis is generally put either on the eigenvalues or the eigenvectors of the
object.\n\nThe goal of the summer school is to present to the selected stu
dents (from master students to postdocs) a panoramic view of this rich are
a\, in order to arouse their interest for some old problems which are comi
ng back on stage\, as well as the new exciting horizons of the field.\n\nS
ome funding is available for young participants (more info at the bottom o
f the page)\n\nMain courses:\n\n• Charles BORDENAVE (Université de Toul
ouse) \n Spectrum of random graphs\n• Paul BOURGADE (New York Unive
rsity) \n Universality and quantum unique ergodicity in random matrix
theory\n• Frédéric KLOPP (Université Pierre et Marie Curie) \n
Large systems of interacting quantum particles in a random field\n• Ey
al LUBETZKY (New York University) \n Spectral vs. geometric approache
s to random walks on random graphs\n• Yuval PERES (Microsoft Research)
\n The cutoff phenomenon and rate of escape for Markov chains\n• Chr
istophe SABOT (Université de Lyon 1) \n Self-interacting processes a
nd random Schrödinger operators\n• Balint VIRAG (University of Toront
o) \n Operator limits of random matrices\n• Simone WARZEL (Technisc
he Universität München) \n Topics in random operator theory\n\nTal
ks by:\n\n• Nathanaël ENRIQUEZ (Université Paris X\, LPMA)\n• Camill
e MALE (CNRS & Université de Bordeaux)\n• Justin SALEZ (Université Par
is-Diderot\, LPMA)\n\nOrganising Committee:\n\nNicolas CURIEN (Université
Paris-Sud) \nHugo DUMINIL-COPIN (IHES)\nJean-François LE GALL (Univers
ité Paris-Sud)\nStéphane NONNENMACHER (Université Paris-Sud)\n\n\nWith
the support of\n\n\n\n \n\nhttps://indico.math.cnrs.fr/event/1751/
LOCATION:IHÉS Marilyn and James Simons Conference Center
URL:https://indico.math.cnrs.fr/event/1751/
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