On the stochastic calculus method for spins systems

• 成果类型: Article
• 署名作者: Tindel, S
• 署名单位: Universite de Lorraine
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117904000000919
• 发表日期: 2005
• 页码: 561-581
• 关键词: sherrington-kirkpatrick model; fluctuations

摘要

In this note we show how to generalize the stochastic calculus method introduced by Comets and Neveu [Comm. Math. Phys. 166 (1995) 549-564] for two models of spin glasses, namely, the SK model with external field and the perceptron model. This method allows to derive quite easily some fluctuation results for the free energy in those two cases.