Superdiffusive behavior for a Brownian polymer in a Gaussian medium

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dc.creatorBezerra, Sergio De Carvalho
dc.creatorTindel, Samy
dc.creatorViens, Frederi
dc.date2006-03-16
dc.date2007-09-12
dc.date.accessioned2026-07-07T08:28:51Z
dc.date.available2026-07-07T08:28:51Z
dc.descriptionThis paper provides information about the asymptotic behavior of a one-dimensional Brownian polymer in random medium represented by a space-time Gaussian field W assumed to be white noise in time and function-valued in space. According to the behavior of the spatial covariance W, we give a lower bound on the power growth (wandering exponent) of the polymer when the time parameter goes to infinity: the polymer is proved to be superdiffusive, with a wandering exponent exceeding any $α<3/5$.
dc.description31 pages; accepted for publication in Annals of Probability; Revised version of "Some scaling limits for a brownian polymer in a Gaussian medium "
dc.identifierhttps://arxiv.org/abs/math/0603404
dc.identifierhttp://arxiv.org/abs/math/0603404
dc.identifierAnnals of Probability 222, 1 (2008) 000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137769
dc.subjectProbability
dc.subject82D60, 60K37, 60G15
dc.titleSuperdiffusive behavior for a Brownian polymer in a Gaussian medium
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