Tertiles and the time constant
Probability
2020-07-22 v2
Abstract
We consider planar first-passage percolation and show that the time constant can be bounded by multiples of the first and second tertiles of the weight distribution. As a consequence we obtain a counter-example to a problem proposed by Alm and Deijfen.
Cite
@article{arxiv.1911.09949,
title = {Tertiles and the time constant},
author = {Daniel Ahlberg},
journal= {arXiv preprint arXiv:1911.09949},
year = {2020}
}
Comments
2 pages