Phase transition for the spherical hierarchical model

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

Abstract

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.

Citation

Ben Arous, G., Hryniv, O., & Molchanov, S. (2002). Phase transition for the spherical hierarchical model. Markov processes and related fields, 8(4), 565-594

• Journal Article Type: Article
• Publication Date: Jan 1, 2002
• Deposit Date: Feb 15, 2008
• Publicly Available Date: Feb 20, 2013
• Journal: Markov processes and related fields.
• Print ISSN: 1024-2953
• Publisher: Polymat
• Peer Reviewed: Peer Reviewed
• Volume: 8
• Issue: 4
• Pages: 565-594
• Keywords: Spherical model, Hierarchical interactions, Phase transition.
• Public URL: https://durham-repository.worktribe.com/output/1560972
• Publisher URL: http://www.math.msu.su/~malyshev/abs02.htm