Duality between coalescence times and exit points in last-passage percolation models
Probability
2015-07-15 v2
Abstract
In this paper we prove a duality relation between coalescence times and exit points in last-passage percolation models with exponential weights. As a consequence, we get lower bounds for coalescence times with scaling exponent 3/2, and we relate its distribution with variational problems involving the Brownian motion process and the Airy process.
Keywords
Cite
@article{arxiv.1307.7769,
title = {Duality between coalescence times and exit points in last-passage percolation models},
author = {Leandro P. R. Pimentel},
journal= {arXiv preprint arXiv:1307.7769},
year = {2015}
}
Comments
Accepted for publication in the Annals of Probability