## Discrete stochastic heat equation driven by fractional noise : Feynman-Kac representation and asymptotic behavior

- Kamran KALBASI, Daniel Valesin, +5 authors Pouyan Sepehrdad
- 2014

Highly Influenced

@inproceedings{Viens2007AlmostSE, title={Almost Sure Exponential Behavior of a Directed Polymer in a Fractional Brownian Environment}, author={Frederi Viens and Tao Zhang}, year={2007} }

- Published 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

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