Statistical Mechanics of Disordered Systems: A Mathematical by Anton Bovier

By Anton Bovier

This self-contained e-book 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 path on mathematical statistical mechanics. It assumes basically uncomplicated wisdom of classical physics and, at the arithmetic facet, an outstanding operating wisdom of graduate-level likelihood thought. The ebook starts off with a concise advent to statistical mechanics, proceeds to disordered lattice spin structures, and concludes with a presentation of the newest advancements within the mathematical figuring out of mean-field spin glass versions. particularly, development in the direction of a rigorous figuring out of the copy symmetry-breaking recommendations of the Sherrington-Kirkpatrick spin glass types, as a result of Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in a few detail.

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