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.
es_ES
Patrocinador
dc.description.sponsorship
Natural Sciences and Engineering Research Council of Canada (NSERC)
CGIAR
Programa Iniciativa Cientifica Milenio through Nucleus Millenium Stochastic Models of Complex and Disordered Systems
NC120062
ANID
AFB170001
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
CONICYT FONDECYT
1160174