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Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment

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.

preprint2010arXivOpen access
Timo SeppäläinenBenedek Valkó
math-phmath.PRmath.MP
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Timo SeppäläinenBenedek Valkó

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