Levi Haunschmid-Sibitz

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math.PR2026

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…

math.PR2024

The stochastic six-vertex model speed process

Hindy Drillick, Levi Haunschmid-Sibitz

For the stochastic six-vertex model on the quadrant $Z_{\geq 0} \times Z_{\geq 0}$ with step initial conditions and a single second-class particle at the origin, we sho…

math.PR2024

$(lo g t)^{\frac{2}{3}}$ -superdiffusivity for the 2d stochastic Burgers equation

Damiano De Gaspari, Levi Haunschmid-Sibitz

The Stochastic Burgers equation was introduced in [H. van Beijeren, R. Kutner and H. Spohn, Excess noise for driven diffusive systems, PRL, 1985] as a continuous approximation of t…

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

The stochastic six-vertex model speed process

(logt)32​-superdiffusivity for the 2d stochastic Burgers equation

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

$(lo g t)^{\frac{2}{3}}$ -superdiffusivity for the 2d stochastic Burgers equation