Translator Disclaimer
2008 On differentiability of the Parisi formula
Dmitry Panchenko
Author Affiliations +
Electron. Commun. Probab. 13: 241-247 (2008). DOI: 10.1214/ECP.v13-1365

Abstract

It was proved by Michel Talagrand in [10] that the Parisi formula for the free energy in the Sherrington-Kirkpatrick model is differentiable with respect to inverse temperature parameter. We present a simpler proof of this result by using approximate solutions in the Parisi formula and give one example of application of the differentiability to prove non self-averaging of the overlap outside of the replica symmetric region.

Citation

Download Citation

Dmitry Panchenko. "On differentiability of the Parisi formula." Electron. Commun. Probab. 13 241 - 247, 2008. https://doi.org/10.1214/ECP.v13-1365

Information

Accepted: 4 May 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1205.82092
MathSciNet: MR2399285
Digital Object Identifier: 10.1214/ECP.v13-1365

Subjects:
Primary: 60K35
Secondary: 82B44

JOURNAL ARTICLE
7 PAGES


SHARE
Back to Top