2002/11/18 by Patrik L. Ferrari, Herbert Spohn
Physics and Astronomy · Mathematics · #math-ph #cond-mat.dis-nn #cond-mat.stat-mech #math.MP #msc:60K35 #msc:82B44
published as Markov Process and Related Fields, 9 (2003), 323-339 · 14 pages, 3 figures, Latex2e
arxiv created 2002/11/18 · arxiv updated 2009/11/30
The 1+1 dimensional directed polymers in a Poissonean random environment is studied. For two polymers of maximal length with the same origin and distinct end points we establish that the point of last branching is governed by the exponent for the transversal fluctuations of a single polymer. We also investigate the density of branches.