| Statistical Mechanics of Disordered Systems: A Mathematical Perspective Contributor(s): Bovier, Anton (Author) |
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ISBN: 1107405335 ISBN-13: 9781107405332 Publisher: Cambridge University Press OUR PRICE: $57.94 Product Type: Paperback - Other Formats Published: July 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General |
| Dewey: 519.5 |
| Series: Cambridge Statistical and Probabilistic Mathematics |
| Physical Information: 0.69" H x 7" W x 10" (1.26 lbs) 328 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
