A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2

dc.creatorKuelske, C.
dc.creatorOrlandi, E.
dc.date2006-04-04
dc.date2006-07-21
dc.date.accessioned2026-07-07T07:10:29Z
dc.date.available2026-07-07T07:10:29Z
dc.descriptionWe prove a finite volume lower bound of the order of the squareroot of log N on the delocalization of a disordered continuous spin model (resp. effective interface model) in d = 2 in a box of size N . The interaction is assumed to be massless, possibly anharmonic and dominated from above by a Gaussian. Disorder is entering via a linear source term. For this model delocalization with the same rate is proved to take place already without disorder. We provide a bound which is uniform in the configuration of the disorder, and so our proof shows that randomness will only enhance fluctuations.
dc.identifierhttps://arxiv.org/abs/math/0604068
dc.identifierhttp://arxiv.org/abs/math/0604068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111438
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K57;82B24;82B44
dc.titleA simple fluctuation lower bound for a disordered massless random continuous spin model in d=2
dc.typetext

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