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Phase transition for the spherical hierarchical model.

Ben Arous, G. and Hryniv, O. and Molchanov, S. (2002) 'Phase transition for the spherical hierarchical model.', Markov processes and related fields., 8 (4). pp. 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.

Item Type:Article
Keywords:Spherical model, Hierarchical interactions, Phase transition.
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Record Created:15 Feb 2008
Last Modified:14 Oct 2016 12:06

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