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Fluctuations in the Ising model on a sparse random graph

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  • De Sanctis, Luca

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.

Suggested Citation

  • De Sanctis, Luca, 2009. "Fluctuations in the Ising model on a sparse random graph," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3383-3394, October.
    • Handle: RePEc:eee:spapps:v:119:y:2009:i:10:p:3383-3394
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