Fluctuations in the Ising model on a sparse random graph

Luca De Sanctis

Stochastic Processes and their Applications, 2009, vol. 119, issue 10, 3383-3394

Abstract: 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 to a centered Gaussian variable with variance diverging at the critical line. The rescaled multi-overlaps also tend to centered independent Gaussian variables, but their covariances remain finite at the critical line.

Keywords: Mean; field; Dilute; ferromagnet; Interpolation; techniques; Convexity; methods; Fluctuations (search for similar items in EconPapers)
Date: 2009
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