Superdiffusivity for a Brownian polymer in a continuous Gaussian environment
Sérgio Bezerra, Samy Tindel, and Frederi Viens
Source: Ann. Probab. Volume 36, Number 5 (2008), 1642-1675.
Abstract
This paper provides information about the asymptotic behavior of a one-dimensional Brownian polymer in random medium represented by a Gaussian field W on ℝ+×ℝ which is white noise in time and function-valued in space. According to the behavior of the spatial covariance of 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.
Primary Subjects: 82D60, 60K37, 60G15
Keywords: Polymer model; random medium; Gaussian field; free energy; wandering exponent
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aop/1221138762
Digital Object Identifier: doi:10.1214/07-AOP363
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