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Book synopsis

First published in 2006, 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Statistical Mechanics of Disordered Systems
• Subtitle: A Mathematical Perspective
• Author: Anton Bovier
• Language: English
• Binding: Paperback
• Number of pages: 328
• EAN: 9781107405332
• ISBN: 1107405335
• ID: 02051495
• Publisher: Cambridge University Press
• Weight: 612 g
• Dimensions: 253 × 178 × 17 mm
• Date of publishing: 19. July 2012

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