Read e-book online Statistical Mechanics of Disordered Systems: A Mathematical PDF

By Anton Bovier

ISBN-10: 0521849918

ISBN-13: 9780521849913

This self-contained ebook is a graduate-level creation for mathematicians and for physicists drawn to the mathematical foundations of the sphere, and will be used as a textbook for a two-semester direction on mathematical statistical mechanics. It assumes purely simple wisdom of classical physics and, at the arithmetic aspect, an outstanding operating wisdom of graduate-level chance conception. The booklet starts off with a concise advent to statistical mechanics, proceeds to disordered lattice spin platforms, and concludes with a presentation of the newest advancements within the mathematical knowing of mean-field spin glass versions. particularly, growth in the direction of a rigorous figuring out of the copy symmetry-breaking recommendations of the Sherrington-Kirkpatrick spin glass versions, as a result of Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in a few detail.

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


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