ENGLISH

Statistical Mechanics of Disordered Systems: A Mathematical Perspective

By Anton Bovier

Book information

Publisher
Cambridge University Press
Year
2006
ISBN
0521849918, 9780521849913, 9780511169113
Open Library ID
OL22730815M
Language
english
Format
PDF
Filesize
4 MB (4432224 bytes)
Series
Cambridge Series in Statistical and Probabilistic Mathematics
Pages
328\328
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

Our mathematical understanding of the statistical mechanics of disordered systems is going through a period of stunning progress. 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, recent 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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