Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
Probability
2011-09-13 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1006.4864,
title = {Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment},
author = {Timo Seppäläinen and Benedek Valkó},
journal= {arXiv preprint arXiv:1006.4864},
year = {2011}
}
Comments
26 pages, minor changes in Section 3.2, typos corrected, reference added