A Connection between Ghirlanda-guerra Identities and Ultrametricity
نویسنده
چکیده
We consider a symmetric positive definite weakly exchangeable infinite random matrix whose elements take a finite number of values and we prove that if the distribution of the matrix satisfies the Ghirlanda-Guerra identities then it is ultrametric with probability one.
منابع مشابه
8 M ay 2 00 9 A connection between the Ghirlanda - Guerra identities and ultrametricity
We consider a symmetric positive definite weakly exchangeable infinite random matrix and show that, under a technical condition that its elements take a finite number of values, the Ghirlanda-Guerra identities imply ultrametricity.
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