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

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

2010-06-24

arxiv.org/abs/1006.4864v2

Alea 7, 451-476 (2010)

Mathematics

Probability

26 pages, minor changes in Section 3.2, typos corrected, reference added

Scientific paper

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.

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