A limited theorem for spin covariances in the Sherrington-kirkpatrick model with external field

• 成果类型: Article
• 署名作者: Hanen, Albert
• 署名单位: Universite Paris Nanterre
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000665
• 发表日期: 2007
• 页码: 141-179
• 关键词: fluctuations

摘要

We study the covariance (for Gibbs measure) of spins at two sites in the case of a Sherrington-Kirkpatrick model with an external field. When the number of sites of the model grows to infinity, an asymptotic evaluation of the p moments of that covariance allows us to obtain a weak limit theorem, with a generally non-Gaussian limit law.