A Central Limit Theorem for a Localized Version of the SK Model |
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| Authors: | Sérgio de Carvalho Bezerra Samy Tindel |
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| Affiliation: | (1) Institut Elie Cartan, Université de Nancy 1, BP 239, 54506 Vandoeuvre-lès-Nancy, France |
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| Abstract: | In this note, we consider a SK (Sherrington–Kirkpatrick)-type model on ℤ d for d≥1, weighted by a function allowing to any single spin to interact with a small proportion of the other ones. In the thermodynamical limit, we investigate the equivalence of this model with the usual SK spin system, through the study of the fluctuations of the free energy. This author’s research partially supported by CAPES. |
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| Keywords: | spin glasses Sherrington– Kirkpatrick localized mean-field model cavity method stochastic calculus |
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