Almost Sure Exponential Behavior of a Directed Polymer in a Fractional Brownian Environment

@inproceedings{Viens2007AlmostSE,
  title={Almost Sure Exponential Behavior of a Directed Polymer in a Fractional Brownian Environment},
  author={Frederi Viens and Tao Zhang},
  year={2007}
}
This paper studies the asymptotic behavior of a one-dimensional directed polymer in a random medium. The latter is represented by a Gaussian …eld BH on R+ R with fractional Brownian behavior in time (Hurst parameter H) and arbitrary function-valued behavior in space. The partition function of such a polymer is