On differentiability of the Parisi formula

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dc.creatorPanchenko, Dmitry
dc.date2007-09-11
dc.date2008-05-04
dc.date.accessioned2026-07-07T09:36:31Z
dc.date.available2026-07-07T09:36:31Z
dc.descriptionIt 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.
dc.identifierhttps://arxiv.org/abs/0709.1514
dc.identifierhttp://arxiv.org/abs/0709.1514
dc.identifierVol. 13 (2008) Elect. Comm. in Probab. 241-247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160148
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 82B44
dc.titleOn differentiability of the Parisi formula
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