The Sherrington-Kirkpatrick Model
The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi soluti...
Shranjeno v:
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2013. |
| Serija: | Springer Monographs in Mathematics
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| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Sherrington-Kirkpatrick model, Dmitry Panchenko, New-York, Springer, 2013, 1 vol. (XII-156 p.), Springer monographs in mathematics, 1-461-46288-6 • The Sherrington-Kirkpatrick Model, Texte imprimé, 9781489993731 • The Sherrington-Kirkpatrick model, Dmitry Panchenko, New-York, Springer, 2013, 1 vol. (XII-156 p.), Springer monographs in mathematics, 1-461-46288-6 • The Sherrington-Kirkpatrick Model, Texte imprimé, 9781461462903 |
| Izvleček: | The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays |
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| Opis knjige/članka: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9781461462897 |
| ISSN: | 2196-9922 |
| Dostop: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |