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Almost sure exponential behavior of a directed polymer in a fractional Brownian environment |
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| Authors: | Frederi G. Viens Tao Zhang |
| Affiliation: | a Department Statistics, Purdue University, W. Lafayette, IN 47907, USA b Department Mathematics, Purdue University, W. Lafayette, IN 47907, USA |
| Abstract: | This paper studies the asymptotic behavior of a one-dimensional directed polymer in a random medium. The latter is represented by a Gaussian field 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  |
| Keywords: | Polymer Random media Lyapunov exponent Malliavin derivative Partition function Fractional Brownian motion Gaussian field Long memory Anderson model |
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