Phase Transition for the Spherical Hierarchical Model

G. Ben Arous, O. Hryniv, S.A. Molchanov

2002, v.8, Issue 4, 565-594


We present the whole spectrum of the limit theorems for the total magnetization in the hierarchical version of the spherical model in dimensions dim > 2.

Keywords: spherical model,hierarchical interactions,phase transition


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