Statistical Mechanics of Disordered Systems
A Mathematical Perspective
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Statistical Mechanics of Disordered Systems by Anton Bovier
Book DescriptionThis 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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Book DetailsISBN: 9780521849913
(254mm x 178mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-Jun-2006
Country of Publication: United Kingdom
Books By Author Anton Bovier
Gaussian Processes on Trees, Hardback (November 2016)
This book presents recent advances in branching Brownian motion from the perspective of extreme value theory and statistical physics, for graduates.
Statistical Mechanics of Disordered Systems, Paperback (July 2012)
A self-contained graduate-level introduction to the statistical mechanics of disordered systems.
Mathematical Statistical Physics, Hardback (June 2006)» View all books by Anton Bovier
Features the proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics which give an overview on this fast developing area of interest to both physicists and mathematicians. This book also presents an introduction to the field of math with many interdisciplinary connections in physics, biology, and computer science.
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Author Biography - Anton Bovier
Professor Bovier is an active researcher, having published over 90 scientific papers, and is a frequently invited speaker at international meetings on probability and mathematics.
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