Majorizing multiplicative cascades for directed polymers in random media

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dc.creatorComets, Francis
dc.creatorVargas, Vincent
dc.date2005-10-25
dc.date.accessioned2026-07-07T06:47:52Z
dc.date.available2026-07-07T06:47:52Z
dc.descriptionIn this note we give upper bounds for the free energy of discrete polymers in random media. The bounds are given by the so-called generalized multiplicative cascades from the statistical theory of turbulence. For the polymer model, we derive that the quenched free energy is different from the annealed one in dimension 1, for any finite temperature and general environment. This implies localization of the polymer.
dc.identifierhttps://arxiv.org/abs/math/0510525
dc.identifierhttp://arxiv.org/abs/math/0510525
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103796
dc.subjectProbability
dc.subject60K35; 60J30; 82D30; 82A51
dc.titleMajorizing multiplicative cascades for directed polymers in random media
dc.typetext

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