540 citations · 3.3k across the 83 of their papers we have counts for
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On level sets of Gaussian fields
Sourav Chatterjee, Amir Dembo, Jian Ding
In this short note, we present a theorem concerning certain "additive structure" for the level sets of non-degenerate Gaussian fields, which yields the multiple valley phenomenon f…
Minimal spanning trees and Stein's method
Sourav Chatterjee, Sanchayan Sen
Kesten and Lee [36] proved that the total length of a minimal spanning tree on certain random point configurations in satisfies a central limit theorem. They also ra…
Stochastic solutions of the wave equation
Sourav Chatterjee
Unlike the heat equation or the Laplace equation, solutions of the wave equation on general domains have no known stochastic representation. This short note gives a simple solution…
Fluctuations of the Bose-Einstein condensate
Sourav Chatterjee, Persi Diaconis
This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the syste…
Assumptionless consistency of the Lasso
Sourav Chatterjee
The Lasso is a popular statistical tool invented by Robert Tibshirani for linear regression when the number of covariates is greater than or comparable to the number of observation…