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arXiv · 1906.01692

Solution of the Kolmogorov equation for TASEP

Mihai Nica·Jeremy Quastel·Daniel Remenik
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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.

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Mihai Nica, Jeremy Quastel, Daniel Remenik. 2020-01-17. Solution of the Kolmogorov equation for TASEP. https://doi.org/10.1214/20-aop1425

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