A connection between the Ghirlanda--Guerra identities and ultrametricity
arXiv:0810.0743 · doi:10.1214/09-AOP484
Abstract
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.
Published in at http://dx.doi.org/10.1214/09-AOP484 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
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Cited by in corpus (20)
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