A CONNECTION BETWEEN THE GHIRLANDA-GUERRA IDENTITIES AND ULTRAMETRICITY

• 成果类型: Article
• 署名作者: Panchenko, Dmitry
• 署名单位: Texas A&M University System; Texas A&M University College Station
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/09-AOP484
• 发表日期: 2010
• 页码: 327-347
• 关键词: competing particle-systems; spin-glass; cascades; models

摘要

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.