540 citations · 3.3k across the 83 of their papers we have counts for
9 papers · 1 filter
Random multiplicative functions in short intervals
Sourav Chatterjee, Kannan Soundararajan
We consider random multiplicative functions taking the values . Using Stein's method for normal approximation, we prove a central limit theorem for the sum of such multiplic…
A note about the uniform distribution on the intersection of a simplex and a sphere
Sourav Chatterjee
Uniform probability distributions on balls and spheres have been studied extensively and are known to behave like product measures in high dimensions. In this note we cons…
Random Overlap Structures: Properties and Applications to Spin Glasses
Louis-Pierre Arguin, Sourav Chatterjee
Random Overlap Structures (ROSt's) are random elements on the space of probability measures on the unit ball of a Hilbert space, where two measures are identified if they differ by…
Properties of Uniform Doubly Stochastic Matrices
Sourav Chatterjee, Persi Diaconis, Allan Sly
We investigate the properties of uniform doubly stochastic random matrices, that is non-negative matrices conditioned to have their rows and columns sum to 1. The rescaled marginal…
Probabilistic methods for discrete nonlinear Schrödinger equations
Sourav Chatterjee, Kay Kirkpatrick
We show that the thermodynamics of the focusing cubic discrete nonlinear Schrodinger equation are exactly solvable in dimensions three and higher. A number of explicit formulas are…
The large deviation principle for the Erdős-Rényi random graph
Sourav Chatterjee, S. R. S. Varadhan
What does an Erdos-Renyi graph look like when a rare event happens? This paper answers this question when p is fixed and n tends to infinity by establishing a large deviation princ…