Perspectives on spin glasses:
Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Links: | https://doi.org/10.1017/CBO9781139049306 |
| Zusammenfassung: | Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems. |
| Umfang: | 1 Online-Ressource (viii, 210 Seiten) |
| ISBN: | 9781139049306 |
Internformat
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| 100 | 1 | |a Contucci, Pierluigi |d 1964- | |
| 245 | 1 | 0 | |a Perspectives on spin glasses |c Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2013 | |
| 300 | |a 1 Online-Ressource (viii, 210 Seiten) | ||
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| 520 | |a Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems. | ||
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Datensatz im Suchindex
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| indexdate | 2025-03-03T11:58:07Z |
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| spelling | Contucci, Pierluigi 1964- Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia Cambridge Cambridge University Press 2013 1 Online-Ressource (viii, 210 Seiten) txt c cr Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems. Giardinà, Cristian Erscheint auch als Druck-Ausgabe 9780521763349 |
| spellingShingle | Contucci, Pierluigi 1964- Perspectives on spin glasses |
| title | Perspectives on spin glasses |
| title_auth | Perspectives on spin glasses |
| title_exact_search | Perspectives on spin glasses |
| title_full | Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| title_fullStr | Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| title_full_unstemmed | Perspectives on spin glasses Pierluigi Contucci, University of Bologna, Cristian Giardinà, University of Modena and Reggio Emilia |
| title_short | Perspectives on spin glasses |
| title_sort | perspectives on spin glasses |
| work_keys_str_mv | AT contuccipierluigi perspectivesonspinglasses AT giardinacristian perspectivesonspinglasses |