English

On the Dovbysh-Sudakov representation result

Probability 2010-08-20 v1

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.

Cite

@article{arxiv.0905.1524,
  title  = {On the Dovbysh-Sudakov representation result},
  author = {Dmitry Panchenko},
  journal= {arXiv preprint arXiv:0905.1524},
  year   = {2010}
}
R2 v1 2026-06-21T13:00:21.717Z