Upper tail large deviations of the directed landscape
Probability
2024-05-27 v1 Mathematical Physics
math.MP
Abstract
Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one correspondence with measures supported on a set of countably many paths, and the rate function is given by a certain Kruzhkov entropy of these measures. As an application of our main result, we prove a large deviation principle for the directed geodesic.
Cite
@article{arxiv.2405.14924,
title = {Upper tail large deviations of the directed landscape},
author = {Sayan Das and Duncan Dauvergne and Bálint Virág},
journal= {arXiv preprint arXiv:2405.14924},
year = {2024}
}
Comments
62 pages, 2 figures