Overview

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.

ISBN-13

9780521849913

ISBN-10

0521849918

Weight

1.78 Pounds

Dimensions

6.75 x 0.75 x 9.50 In

List Price

$98.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

328 pages

Publisher

Cambridge University Press

Published On

2006-06-08



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