56 citations · 238 across the 48 of their papers we have counts for
4 papers · 2 filters
KPZ equation tails for general initial data
Ivan Corwin, Promit Ghosal
We consider the upper and lower tail probabilities for the centered (by time) and scaled (according to KPZ time scaling) one-point distribution of the Cole-Hopf soluti…
Moments of the SHE under delta initial measure
Promit Ghosal
We give a rigorous proof of the contour integral formulas of the moments of the stochastic heat equation (SHE) started from the delta initial measure at the origin. These formulas…
Stochastic PDE Limit of the Six Vertex Model
Ivan Corwin, Promit Ghosal, Hao Shen +1
We study the stochastic six vertex model and prove that under weak asymmetry scaling (i.e., when the parameter so as to zoom into the ferroelectric/disordered phase crit…
Lower tail of the KPZ equation
Ivan Corwin, Promit Ghosal
We provide the first tight bounds on the lower tail probability of the one point distribution of the KPZ equation with narrow wedge initial data. Our bounds hold for all sufficient…