28 citations · 45 across the 5 of their papers we have counts for
11 papers · 1 filter
The ASEP speed process
Amol Aggarwal, Ivan Corwin, Promit Ghosal
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…
Fractal Geometry of the Valleys of the Parabolic Anderson Equation
Promit Ghosal, Jaeyun Yi
We study the macroscopic fractal properties of the deep valleys of the solution of the -dimensional parabolic Anderson equation $${\partial \over \partial t}u(t,x) =\frac{1}…
Law of Iterated Logarithms and Fractal Properties of the KPZ Equation
Sayan Das, Promit Ghosal
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started from the narrow wedge initial condition. In this article, we ask how the peaks and valleys of the K…
KPZ equation correlations in time
Ivan Corwin, Promit Ghosal, Alan Hammond
We consider the narrow wedge solution to the Kardar-Parisi-Zhang stochastic PDE under the characteristic scaling of time, space and fluctuations. We study the correlation o…
Stochastic PDE limit of the dynamic ASEP
Ivan Corwin, Promit Ghosal, Konstantin Matetski
We study a stochastic PDE limit of the height function of the dynamic asymmetric simple exclusion process (dynamic ASEP). A degeneration of the stochastic Interaction Round-a-Face…
Limiting speed of a second class particle in ASEP
Promit Ghosal, Axel Saenz, Ethan C. Zell
We study the asymptotic speed of a second class particle in the two-species asymmetric simple exclusion process (ASEP) on with each particle belonging either to the fi…