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A Central Limit Theorem for a Localized Version of the SK Model

✍ Scribed by Sérgio de Carvalho Bezerra; Samy Tindel

Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
442 KB
Volume
26
Category
Article
ISSN
0926-2601

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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