Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
arXiv:1006.4864
Abstract
We study the scaling exponents of a 1+1-dimensional directed polymer in a Brownian random environment introduced by O'Connell and Yor. For a version of the model with boundary conditions that are stationary in a space-time sense we identify the exact values of the exponents. For the version without the boundary conditions we get the conjectured upper bounds on the exponents.
26 pages, minor changes in Section 3.2, typos corrected, reference added
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