28 citations · 56 across the 33 of their papers we have counts for
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math.PR2021
Rigidity of the Stochastic Airy Operator
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Wenxuan Li +1
We prove that the spectrum of the stochastic Airy operator is rigid in the sense of Ghosh and Peres (Duke Math. J., 166(10):1789--1858, 2017) for Dirichlet and Robin boundary condi…
math.PR2021★ 3 cited
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}…
math.PR2021★ 1 cited
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…