Multiple geodesics with the same direction
Probability
2011-04-08 v1
Abstract
The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel \cite{FP}. In particular, using a recent result of \cite{CH2} and a local modification argument, we prove there is no (random) direction with more than two geodesics with probability 1.
Keywords
Cite
@article{arxiv.1104.1321,
title = {Multiple geodesics with the same direction},
author = {David Coupier},
journal= {arXiv preprint arXiv:1104.1321},
year = {2011}
}
Comments
10 pages, 1 figure