Vai al contenuto principale della pagina
Autore: | Bovier Anton <1957-> |
Titolo: | Statistical mechanics of disordered systems : a mathematical perspective / / Anton Bovier |
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 |
Opac: | Controlla la disponibilità qui |