A note on the exact simulation of a random eigenvalue of a GUE matrix

Fuente: arXiv
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Autores principales: Devroye, Luc, Hamdan, Jad
Formato: Preprint
Publicado: 2023
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author Devroye, Luc
Hamdan, Jad
author_facet Devroye, Luc
Hamdan, Jad
contents 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 eigenvalue of a matrix from the Gaussian Unitary Ensemble ({\textsc{gue}}) in sub-linear expected time.
format Preprint
id arxiv_https___arxiv_org_abs_2304_03741
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A note on the exact simulation of a random eigenvalue of a GUE matrix
Devroye, Luc
Hamdan, Jad
Probability
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 eigenvalue of a matrix from the Gaussian Unitary Ensemble ({\textsc{gue}}) in sub-linear expected time.
title A note on the exact simulation of a random eigenvalue of a GUE matrix
topic Probability
url https://arxiv.org/abs/2304.03741