Statistical Mechanics of Disordered Systems: A Mathematical Perspective - Couverture rigide

Bovier, Anton

Couverture rigide

ISBN 10 : 0521849918 ISBN 13 : 9780521849913

Editeur : Cambridge University Press, 2006

Synopsis

This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.

A propos du livre

À propos de l'auteur

Professor Bovier is an active researcher, having published over 90 scientific papers, and is a frequently invited speaker at international meetings on probability and mathematics.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0521849918
• ISBN 13: 9780521849913
• Reliure: Relié
• Nombre de pages: 328
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France