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Magnetization and overlap distributions of the ferromagnetic Ising model on the Cayley tree

R. Mélin

cond-matarXiv:cond-mat/9607215

Abstract

We analyze the magnetization and the overlap distributions on the ferromagnetic Cayley tree. Two quantities are investigated: the asymptotic scaling of all the moments of the magnetization and overlap distributions, as well as the computation of the fractal dimension of the magnetization and overlap probability measures.

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