Last Branching in Directed Last Passage Percolation
Mathematical Physics
2007-05-23 v1 Disordered Systems and Neural Networks
Statistical Mechanics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0211040,
title = {Last Branching in Directed Last Passage Percolation},
author = {Patrik L. Ferrari and Herbert Spohn},
journal= {arXiv preprint arXiv:math-ph/0211040},
year = {2007}
}
Comments
14 pages, 3 figures, Latex2e