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

   
@article{EJP258,
	author = {Dmitry Panchenko},
	title = {A Central Limit Theorem for Weighted Averages of Spins in the High Temperature Region of the Sherrington-Kirkpatrick Model},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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.},
	pages = {no. 14, 499-524},
	issn = {1083-6489},
	doi = {10.1214/EJP.v10-258},    
        url = {http://ejp.ejpecp.org/article/view/258}}