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

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1.	Title	Title of document	A Central Limit Theorem for Weighted Averages of Spins in the High Temperature Region of the Sherrington-Kirkpatrick Model
2.	Creator	Author's name, affiliation, country	Dmitry Panchenko; Massachusetts Institute of Technology, USA
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	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.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2005-06-13
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	HTML, PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/258
10.	Identifier	Digital Object Identifier	10.1214/EJP.v10-258
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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