We prove a rigorous version of the following heuristic statement: if, in a spin glass model, the extended Ghirlanda-Guerra identities are valid, at given disorder the distribution of the overlap of two configurations is discrete, and its support (the smallest closed set that carries this distribution) is non-random. © 2004 Academie des sciences Published by Elsevier SAS. All right reserved.
On the distribution of the overlaps at given disorder / Parisi, Giorgio; Michel, Talagrand. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 339:4(2004), pp. 303-306. [10.1016/j.crma.2004.06.014]
On the distribution of the overlaps at given disorder
PARISI, Giorgio;
2004
Abstract
We prove a rigorous version of the following heuristic statement: if, in a spin glass model, the extended Ghirlanda-Guerra identities are valid, at given disorder the distribution of the overlap of two configurations is discrete, and its support (the smallest closed set that carries this distribution) is non-random. © 2004 Academie des sciences Published by Elsevier SAS. All right reserved.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
