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math-ph2008
Fluctuations in the Ising spin model on a sparse random graph
Luca De Sanctis
We compute the fluctuations of the magnetization and of the multi-overlaps for the dilute mean field ferromagnet, in the high temperature region. The rescaled magnetization tends t…
cond-mat.stat-mech2008★ 28 cited
Mean field dilute ferromagnet I. High temperature and zero temperature behavior
Luca De Sanctis, Francesco Guerra
We study the mean field dilute model of a ferromagnet. We find and prove an expression for the free energy density at high temperature, and at temperature zero. We find the critica…