One-point distribution of the geodesic in directed last passage percolation
Probability
2025-09-03 v3 Mathematical Physics
math.MP
Abstract
We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the last passage times, and its limit as the parameters go to infinity under the KPZ scaling.
Keywords
Cite
@article{arxiv.2105.15150,
title = {One-point distribution of the geodesic in directed last passage percolation},
author = {Zhipeng Liu},
journal= {arXiv preprint arXiv:2105.15150},
year = {2025}
}
Comments
Corrected a sign typo in two equations (1.23) and (3.8). No other changes