A connection between the Ghirlanda–Guerra identities and ultrametricity
Panchenko, Dmitry
Ann. Probab., Tome 38 (2010) no. 1, p. 327-347 / Harvested from Project Euclid
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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.
Publié le : 2010-01-15
Classification:  Sherrington–Kirkpatrick model,  Parisi ultrametricity conjecture,  60K35,  82B44 
@article{1264434001,
     author = {Panchenko, Dmitry},
     title = {A connection between the Ghirlanda--Guerra identities and ultrametricity},
     journal = {Ann. Probab.},
     volume = {38},
     number = {1},
     year = {2010},
     pages = { 327-347},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264434001}
}

Panchenko, Dmitry. A connection between the Ghirlanda–Guerra identities and ultrametricity. Ann. Probab., Tome 38 (2010) no. 1, pp.  327-347. http://gdmltest.u-ga.fr/item/1264434001/