Statistical Mechanics of Disordered Systems(English, Hardcover, Bovier Anton)

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Statistical Mechanics of Disordered Systems(English, Hardcover, Bovier Anton) is written by Bovier Anton and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 0521849918 (ISBN 10) and 9780521849913 (ISBN 13).

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.