On the number of maximal paths in directed last-passage percolation
Probability
2018-01-18 v1
Abstract
We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice in which weights take finitely many values is typically exponentially large.
Cite
@article{arxiv.1801.05777,
title = {On the number of maximal paths in directed last-passage percolation},
author = {Hugo Duminil-Copin and Harry Kesten and Fedor Nazarov and Yuval Peres and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:1801.05777},
year = {2018}
}
Comments
15 pages, 3 figures