A mean-field spin glass model based on diluted $$V$$V-statistics
A mean-field spin glass model based on diluted $$V$$V-statistics
复制标题
基于稀释 $$V$$V 统计量的平均场自旋玻璃模型
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
M. Talagrand
中科院分区：
文献类型：
--
作者：
M. Talagrand
作者最近介绍了一个具有无限连通性的平均场自旋玻璃模型Talagrand（Mean Field Models for Spin Glasses. Springer，柏林，2011），其具有惊人的性质，即在复制对称方程中自然出现的参数之一是函数。我们介绍了一个版本的这种模型的相互作用是“稀释”，并在高温下的重叠的典型值的计算需要使用一个随机措施作为辅助参数。
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.