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portada Statistical Mechanics of Disordered Systems: A Mathematical Perspective (Cambridge Series in Statistical and Probabilistic Mathematics)
Type
Physical Book
Publisher
Author
Year
2012
Language
English
Pages
328
Format
Paperback
ISBN
1107405335
ISBN13
9781107405332
Edition No.
1
Categories

Statistical Mechanics of Disordered Systems: A Mathematical Perspective (Cambridge Series in Statistical and Probabilistic Mathematics)

Anton Bovier (Author) · Cambridge University Press · Paperback

Statistical Mechanics of Disordered Systems: A Mathematical Perspective (Cambridge Series in Statistical and Probabilistic Mathematics) - Anton Bovier

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Synopsis "Statistical Mechanics of Disordered Systems: A Mathematical Perspective (Cambridge Series in Statistical and Probabilistic Mathematics) "

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.

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