On the Dovbysh-Sudakov representation result

Abstract

We present a detailed proof of the Dovbysh-Sudakov representation for symmetric positive definite weakly exchangeable infinite random arrays, called Gram-de Finetti matrices, which is based on the representation result of Aldous and Hoover for arbitrary (not necessarily positive definite) symmetric weakly exchangeable arrays.

References in corpus (1)

• A connection between the Ghirlanda--Guerra identities and ultrametricity

Cited by in corpus (1)

• Short-range spin glasses and Random Overlap Structures