Superdiffusivity for a Brownian polymer in a continuous Gaussian environment

  title={Superdiffusivity for a Brownian polymer in a continuous Gaussian environment},
  author={S{\'e}rgio Bezerra and Samy Tindel and Frederi Viens},
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 assumed to be 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. 

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