@article{ECP1365,
author = {Dmitry Panchenko},
title = {On differentiability of the Parisi formula},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {13},
year = {2008},
keywords = {Sherrington-Kirkpatrick model, Parisi formula.},
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.},
pages = {no. 23, 241-247},
issn = {1083-589X},
doi = {10.1214/ECP.v13-1365},
url = {http://ecp.ejpecp.org/article/view/1365}}