Pierluigi Contucci
Toward a classification theorem for stochastically stable measures 
(156K, postscript)

ABSTRACT.  In this short note we study the fourth order consequences of the stochastic stability property for mean field spin glass models introduced in \cite{AC}. We show that due to a remarkable cancellation mechanism it reduces to the well known second order version as predicted by the Parisi {\it replica-equivalent} ansatz.