Open Access
2010 On the Dovbysh-Sudakov representation result
Dmitry Panchenko
Author Affiliations +
Electron. Commun. Probab. 15: 330-338 (2010). DOI: 10.1214/ECP.v15-1562

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.

Citation

Download Citation

Dmitry Panchenko. "On the Dovbysh-Sudakov representation result." Electron. Commun. Probab. 15 330 - 338, 2010. https://doi.org/10.1214/ECP.v15-1562

Information

Accepted: 14 August 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1226.60050
MathSciNet: MR2679002
Digital Object Identifier: 10.1214/ECP.v15-1562

Subjects:
Primary: 60G09
Secondary: 82B44

Keywords: exchangeability , Spin glasses

Back to Top