56 citations · 238 across the 48 of their papers we have counts for
7 papers · 1 filter
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…
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}…
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections
Nabarun Deb, Promit Ghosal, Bodhisattva Sen
Optimal transport maps between two probability distributions and on have found extensive applications in both machine learning and statistics. In practice, t…
Stability of Entropic Optimal Transport and Schrödinger Bridges
Promit Ghosal, Marcel Nutz, Espen Bernton
We establish the stability of solutions to the entropically regularized optimal transport problem with respect to the marginals and the cost function. The result is based on the ge…
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…
Entropic Optimal Transport: Geometry and Large Deviations
Espen Bernton, Promit Ghosal, Marcel Nutz
We study the convergence of entropically regularized optimal transport to optimal transport. The main result is concerned with the convergence of the associated optimizers and take…
On Spatial Conditioning of the Spectrum of Discrete Random Schrödinger Operators
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
Consider a random Schrödinger-type operator of the form acting on a general graph , where is the generator of a Markov proce…