Statistical mechanics of disordered systems : a mathematical perspective / / Anton Bovier

• Autore: Bovier Anton <1957->
• Pubblicazione: Cambridge, UK, : Cambridge University Press, 2006
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (xiv, 312 pages) : digital, PDF file(s)
• Disciplina: 519.5
• Soggetto topico: Statistical mechanics; Mathematical statistics; Probabilities; System theory
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. [297]-308) and index.
• Nota di contenuto: Principles of statistical mechanics -- Lattice gases and spin systems -- Gibbsian formalism for lattice spin systems -- Cluster expansions -- Gibbsian formalism and metastates -- The random-field Ising model -- Disordered mean-field models -- The random energy model -- Derrida's generalized random energy models -- The SK models and the Parisi solution -- Hopfield models -- The number partitioning problem.
• Sommario/riassunto: 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.
• Titolo autorizzato: Statistical mechanics of disordered systems
• ISBN: 1-107-15343-3; 1-280-48005-X; 9786610480050; 0-511-16868-3; 0-511-16911-6; 0-511-16769-5; 0-511-31455-8; 0-511-61680-5; 0-511-16823-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910823314703321
• Lo trovi qui: Univ. Federico II
• Serie: Cambridge series on statistical and probabilistic mathematics ; ; 18.