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Spectral properties of large random objects - Summer school 2017

https://indico.math.cnrs.fr/event/1751/
July 17 to July 28, 2017

Studying spectral properties of large random objects has been a very active playground in probability theory, mathematical physics and computer science during the last decades.

The motivations are manifold: viewing random matrices as a model for complicated quantum Hamiltonians, studying random Schrödinger operators to understand the Anderson localization phenomenon, viewing eigenvectors of random matrices as models for eigenmodes of quantized chaotic systems, or understanding the geometry of large (random) graphs such as expanders via the spectral properties of their adjacency matrices. In those studies the emphasis is generally put either on the eigenvalues or the eigenvectors of the object.

The goal of the summer school is to present to the selected students (from master students to postdocs) a panoramic view of this rich area, in order to arouse their interest for some old problems which are coming back on stage, as well as the new exciting horizons of the field.

Organising Committee:
Nicolas CURIEN (Université Paris-Sud)
Hugo DUMINIL-COPIN (IHES)
Jean-François LE GALL (Université Paris-Sud)
Stéphane NONNENMACHER (Université Paris-Sud)

With the support of
Société Générale
FMJH
https://indico.math.cnrs.fr/event/1751/
July 17 to July 28, 2017

Studying spectral properties of large random objects has been a very active playground in probability theory, mathematical physics and computer science during the last decades.

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