A connection between the Ghirlanda--Guerra identities and ultrametricity

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.

• Publication year

  2008

• Venue

  arXiv: Probability

• Publication date

  2008-10-04

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1214/09-AOP484arXiv 0810.0743
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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