3 papers
math.PR2026
A fixed-point approach to non-commutative central limit theorems
Jad Hamdan
We show how the renormalization group approach can be used to prove quantitative central limit theorems (CLTs) in the setting of free, Boolean, bi-free and bi-Boolean independence…
math.ST2025
Density estimation using cellular binary trees and an application to monotone densities
Luc Devroye, Jad Hamdan
Consider a density on that must be estimated from an i.i.d. sample drawn from . In this note, we study binary-tree-based histogram estimates that use r…
math.PR2025
A note on the exact simulation of a random eigenvalue of a GUE matrix
Luc Devroye, Jad Hamdan
We develop a simple algorithm to generate random variables described by densities equaling squared Hermite functions. As an application, we show how to generate a randomly chosen e…