Solution of the Kolmogorov equation for TASEP

Authors
Nica, Mihai Quastel, Jeremy Remenik, Daniel
Citation
Nica, Mihai et al., Solution of the Kolmogorov equation for TASEP, Annals of probability (Online) , 48(5), 2020, pp. 2344-2358
Journal title
Annals of probability (Online) → ACNP
ISSN journal
2168894X
Volume
48
Issue
5
Year of publication
2020
Pages
2344 - 2358
Database
ACNP
SICI code
Abstract
We provide a direct and elementary proof that the formula obtained in (Matetski, Quastel and Remenik (2016)) 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.