Hydrodynamic large deviations of TASEP
Probability
2024-11-26 v3
Abstract
We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP). This problem was studied in Jensen (2000) and Varadhan (2004) and was shown to be related to entropy production in the inviscid Burgers equation. Here we prove the full large deviation principle. Our method relies on the explicit formula of Matetski, Quastel, and Remenik (2016) for the transition probabilities of the TASEP.
Cite
@article{arxiv.2104.04444,
title = {Hydrodynamic large deviations of TASEP},
author = {Jeremy Quastel and Li-Cheng Tsai},
journal= {arXiv preprint arXiv:2104.04444},
year = {2024}
}
Comments
51 pages, 28 figures; updated to match the published version