Superdiffusive behavior for a Brownian polymer in a Gaussian medium
Probability
2007-09-12 v2
Abstract
This 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 .
Cite
@article{arxiv.math/0603404,
title = {Superdiffusive behavior for a Brownian polymer in a Gaussian medium},
author = {Sergio De Carvalho Bezerra and Samy Tindel and Frederi Viens},
journal= {arXiv preprint arXiv:math/0603404},
year = {2007}
}
Comments
31 pages; accepted for publication in Annals of Probability; Revised version of "Some scaling limits for a brownian polymer in a Gaussian medium "