Solution of the Kolmogorov equation for TASEP
Probability
2020-10-13 v2 Mathematical Physics
math.MP
Abstract
We provide a direct and elementary proof that the formula obtained in [MQR17] for the TASEP transition probabilities for general (one-sided) initial data solves the Kolmogorov backward equation. The same method yields the solution for the related PushASEP particle system.
Cite
@article{arxiv.1906.01692,
title = {Solution of the Kolmogorov equation for TASEP},
author = {Mihai Nica and Jeremy Quastel and Daniel Remenik},
journal= {arXiv preprint arXiv:1906.01692},
year = {2020}
}
Comments
Minor corrections and improvements. To appear in Ann. Probab