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Cambridge University Press Statistical Mechanics of Disordered Systems: A Mathematical Perspective: 18 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 18)

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£71.19 £48.57 £53.51 £58.44 £63.38 £68.31 £73.25 09 June 2024 14 November 2024 22 April 2025 27 September 2025 05 March 2026

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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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 June 2006
Listed Since
09 January 2007

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