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Statistical Mechanics of Disordered Systems: A Mathematical Perspective
Author(s): Anton Bovier (Author)
- Publisher: Cambridge University Press
- Publication Date: July 19, 2012
- Edition: 1st
- Language: English
- Print length: 328 pages
- ISBN-10: 1107405335
- ISBN-13: 9781107405332
Book Description
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.
Editorial Reviews
Review
“This book grew out of lecture notes and courses, and was prepared and polished over the last six years. Long-awaited, it is carefully prepared in a pedagogical style, with selected themes and progressive difficulty. It presents a broad overview of the field with modern tools and elaborate techniques, culminating with deep results and fascinating pictures. However, the author succeeds in also making it nice to read and easy to handle, keeping the style as direct as possible…”
Francis Comets, Mathematical Reviews
Francis Comets, Mathematical Reviews
Book Description
A self-contained graduate-level introduction to the statistical mechanics of disordered systems.
