The censored stochastic six-vertex model and parabolic Kazhdan--Lusztig $R$-polynomials

Hindy Drillick, Levi Haunschmid-Sibitz

We introduce a censored version of the stochastic six-vertex model. We show that for parameters $b_1<b_2$, this model started from the initial condition $1_{x>0}$ is stochastic…