Non-existence of bi-infinite geodesics in the exponential corner growth model
Probability
2020-11-17 v1
Abstract
This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics through planarity and estimates derived from increment-stationary versions of the last-passage percolation process.
Keywords
Cite
@article{arxiv.1909.06883,
title = {Non-existence of bi-infinite geodesics in the exponential corner growth model},
author = {Márton Balázs and Ofer Busani and Timo Seppäläinen},
journal= {arXiv preprint arXiv:1909.06883},
year = {2020}
}
Comments
32 pages, 9 figures