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


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.


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Dmitry Panchenko. "On the Dovbysh-Sudakov representation result." Electron. Commun. Probab. 15 330 - 338, 2010.


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

Primary: 60G09
Secondary: 82B44

Keywords: exchangeability , Spin glasses

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