Skip to Main content Skip to Navigation
Journal articles

A central limit theorem for a localized version of the SK model

Abstract : In this note, we consider a SK (Sherrington--Kirkpatrick)-type model on Z^d for d greater or equal to 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [10 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00101520
Contributor : Samy Tindel Connect in order to contact the contributor
Submitted on : Wednesday, September 27, 2006 - 2:29:36 PM
Last modification on : Friday, July 9, 2021 - 11:30:29 AM
Long-term archiving on: : Monday, April 5, 2010 - 10:59:13 PM

Identifiers

Collections

Citation

Sergio de Carvalho Bezerra, Samy Tindel. A central limit theorem for a localized version of the SK model. Potential Analysis, Springer Verlag, 2007, 26, pp.323-343. ⟨10.1007/s11118-007-9041-9⟩. ⟨hal-00101520⟩

Share

Metrics

Record views

353

Files downloads

257