Document Zbl 1226.60050

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On the Dovbysh-Sudakov representation result. (English) Zbl 1226.60050

Electron. Commun. Probab. 15, 330-338 (2010).

Summary: 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.

Cited in 14 Documents

MSC:

60G09	Exchangeability for stochastic processes
82B44	Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics

Keywords:

exchangeability; spin glasses

Citations:

Zbl 0496.60018

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