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 Electronic Journal of Probability > Vol. 10 (2005) > Paper 14 open journal systems 


A Central Limit Theorem for Weighted Averages of Spins in the High Temperature Region of the Sherrington-Kirkpatrick Model

Dmitry Panchenko, Massachusetts Institute of Technology, USA


Abstract
In this paper we prove that in the high temperature region of the Sherrington-Kirkpatrick model for a typical realization of the disorder the weighted average of spins $sum_{i leq N} t_i sigma_i$ will be approximately Gaussian provided that $max_{i leq N}|t_i|/sum_{i leq N} t_i^2$ is small.


Full text: PDF

Pages: 499-524

Published on: June 13, 2005


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ISBN: 3-540-00356-8 MR1993891

















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Electronic Journal of Probability. ISSN: 1083-6489