High temperature regime for a multidimensional Sherrington-Kirkpatrick model of spin glass
成果类型：
Article
署名作者：
Toubol, A
署名单位：
Institut Polytechnique de Paris; Ecole Nationale des Ponts et Chaussees; Universite Paris Cite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s004400050157
发表日期：
1998
页码：
497-534
关键词：
摘要：
Comets and Neveu have initiated in [5] a method to prove convergence of the partition function of disordered systems to a lognormal random variable in the high temperature regime by means of stochastic calculus. We generalize their approach to a multidimensional Sherrington-Kirkpatrick model with an application to the Heisenberg model of uniform spins on a sphere of R-d, see [9]. The main tool that we use is a truncation of the partition function outside a small neighbourhood of the typical energy path.
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