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Statistical Mechanics of Disordered Systems: A Mathematical Perspective by Anton Bovier

Statistical Mechanics of Disordered Systems: A Mathematical Perspective

by Anton Bovier
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Book cover type: Paperback
  • ISBN13: 9781107405332
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 328
  • Original Price: GBP 51.0
  • Language: English
  • Edition: N/A
  • Item Weight: 572 grams
  • BISAC Subject(s): Probability & Statistics / General

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.

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