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Spin Glasses: Statics and DynamicsSelf-averaging Identities for Random Spin Systems

Spin Glasses: Statics and Dynamics: Self-averaging Identities for Random Spin Systems [We provide a systematic treatment of self-averaging identities, whose validity is proven in integral average, for dilute spin glasses. The method is quite general, and as a special case recovers the Ghirlanda—Guerra identities, which are therefore proven, together with their extension, to be valid in dilute spin glasses. We focus on dilute spin glasses, but the results hold in all models enjoying stability with respect to the perturbations we introduce; although such a stability is believed to hold for several models, we do not classify them here.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Spin Glasses: Statics and DynamicsSelf-averaging Identities for Random Spin Systems

Part of the Progress in Probability Book Series (volume 62)
Editors: de Monvel, Anne Boutet; Bovier, Anton

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References (21)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2009
ISBN
978-3-7643-8999-4
Pages
123 –142
DOI
10.1007/978-3-7643-9891-0_5
Publisher site
See Chapter on Publisher Site

Abstract

[We provide a systematic treatment of self-averaging identities, whose validity is proven in integral average, for dilute spin glasses. The method is quite general, and as a special case recovers the Ghirlanda—Guerra identities, which are therefore proven, together with their extension, to be valid in dilute spin glasses. We focus on dilute spin glasses, but the results hold in all models enjoying stability with respect to the perturbations we introduce; although such a stability is believed to hold for several models, we do not classify them here.]

Published: Dec 14, 2009

Keywords: 82B44; 82B20; Diluted spin glasses; Ghirlanda—Guerra; self-averaging

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