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Random Schrödinger Operators
Margherita Disertori, ETH-Zurich, Switzerland, Werner Kirsch, Universität Hagen, Germany, Abel Klein, University of California, Irvine, CA, Frédéric Klopp, Université Paris-Nord, Villetaneuse, France, and Vincent Rivasseau, Université Paris XI, Orsay, France
A publication of the Société Mathématique de France.
cover
Panoramas et Synthèses
2008; 213 pp; softcover
Number: 25
ISBN-10: 2-85629-254-2
ISBN-13: 978-2-85629-254-9
List Price: US$72
Member Price: US$57.60
Order Code: PASY/25
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During the last thirty years, random Schrödinger operators, which originated in condensed matter physics, have been studied intensively and very productively. The theory is at the crossroads of a number of mathematical fields: the theory of operators, partial differential equations, the theory of probabilities, in particular the study of stochastic processes and that of random walks and Brownian motion in a random environment. This monograph aims to give the reader a panorama of the subject, from the now-classic foundations to very recent developments.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in mathematical physics.

Table of Contents

  • W. Kirsch -- An invitation to random Schrödinger operators (with an appendix by F. Klopp)
  • A. Klein -- Multiscale analysis and localization of random operators
  • M. Disertori and V. Rivasseau -- Random matrices and the Anderson model
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