Mathematics – Probability
Scientific paper
2006-09-27
Mathematics
Probability
22 pages
Scientific paper
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.
Carvalho Bezerra Sergio de
Tindel Samy
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