%0 Journal Article %T Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment %A Timo Sepp£¿l£¿inen %A Benedek Valk¨® %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1006.4864v2