A mean-field spin glass model based on diluted V-statistics
成果类型：
Article
署名作者：
Talagrand, Michel
署名单位：
Sorbonne Universite; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-015-0634-8
发表日期：
2016
页码：
401-445
关键词：
摘要：
The author has recently introduced a mean-field spin glass model with infinite connectivity Talagrand (Mean Field Models for Spin Glasses. Springer, Berlin, 2011) that has the striking property that one of the parameters naturally occurring in the replica-symmetric equations is a function. We introduce a version of this model where the interaction is diluted, and where at high temperature the computation of the typical value of the overlaps requires the use of a random measure as an auxiliary parameter.