10 citations · 13 across the 11 of their papers we have counts for
8 papers · 1 filter
A universality result for the critical 2d stochastic heat flow
Hindy Drillick, Jonathan Hou, Shalin Parekh
For a large class of discrete- and continuous-time models satisfying a linear flow property, we prove convergence to the critical stochastic heat flow under diffusive scaling…
The critical KPZ scale for the Averaging Process
Hindy Drillick, Shalin Parekh, Federico Sau
KPZ-type extremal fluctuations have recently been proved for several models of random walks in space-time random environments (RWRE) in dimensions. A general moment criterion…
Random walks in space-time random media in all spatial dimensions: the full subcritical fluctuation regime
Hindy Drillick, Shalin Parekh
In arbitrary spatial dimension , we study a generalized model of random walks in a time-varying random environment (RWRE) defined by a stochastic flow of kernels. We consid…
The stochastic six-vertex model speed process
Hindy Drillick, Levi Haunschmid-Sibitz
For the stochastic six-vertex model on the quadrant with step initial conditions and a single second-class particle at the origin, we sho…
Multiplicative SHE limit of random walks in space-time random environments
Sayan Das, Hindy Drillick, Shalin Parekh
We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat equation (SHE) arises as the fluctuations of the quenched density of a 1D random w…
KPZ equation limit of sticky Brownian motion
Sayan Das, Hindy Drillick, Shalin Parekh
We consider the motion of a particle under a continuum random environment whose distribution is given by the Howitt-Warren flow. In the moderate deviation regime, we establish that…
Strong law of large numbers for the stochastic six vertex model
Hindy Drillick, Yier Lin
We consider the inhomogeneous stochastic six vertex model with periodicity starting from step initial data. We prove that it converges almost surely to a deterministic limit shape.…
Hydrodynamics of the -PNG model via a colored -PNG model
Hindy Drillick, Yier Lin
The -PNG model introduced in Aggarwal, Borodin, and Wheeler (2021) is a deformed version of the polynuclear growth (PNG) model. In this paper, we prove the hydrodynamic limit of…