A mean-field spin glass model based on diluted V-statistics

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.