56 citations · 238 across the 48 of their papers we have counts for
5 papers · 1 filter
Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
We develop a technique for proving number rigidity (in the sense of Ghosh-Peres) of the spectrum of general random Schrödinger operators (RSOs). Our method makes use of Feynman-Kac…
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…
Multivariate Ranks and Quantiles using Optimal Transport: Consistency, Rates, and Nonparametric Testing
Promit Ghosal, Bodhisattva Sen
In this paper we study multivariate ranks and quantiles, defined using the theory of optimal transport, and build on the work of Chernozhukov et al.(2017) and Hallin et al.(2021).…
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…