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arXiv 2008-10-04 DOI 10.1214/09-AOP484 0 views

A connection between the Ghirlanda--Guerra identities and ultrametricity

Panchenko, Dmitry

Original · EN

We consider a symmetric positive definite weakly exchangeable infinite random matrix and show that, under the technical condition that its elements take a finite number of values, the Ghirlanda--Guerra identities imply ultrametricity.

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