Solution of the Kolmogorov equation for TASEP
arXiv:1906.01692 · doi:10.1214/20-AOP1425
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.
Minor corrections and improvements. To appear in Ann. Probab