DeepAI AI Chat

Cubature rules for unitary Jacobi ensembles

05/02/2023

∙

by Jan Felipe van Diejen, et al.

∙

Delft University of Technology

∙

∙

We present Chebyshev type cubature rules for the exact integration of rational symmetric functions with poles on prescribed coordinate hyperplanes. Here the integration is with respect to the densities of unitary Jacobi ensembles stemming from the Haar measures of the orthogonal and the compact symplectic Lie groups.

Jan Felipe van Diejen
2 publications
Erdal Emsiz
2 publications

page 1

page 2

page 3

page 4

∙ 05/02/2023

Cubature rules from Hall-Littlewood polynomials

Discrete orthogonality relations for Hall-Littlewood polynomials are emp...

0 Jan Felipe van Diejen, et al. ∙

∙ 06/12/2022

Curvilinearity and Orthogonality

We introduce sequences of functions orthogonal on a finite interval: pro...

0 Vladimir S. Chelyshkov, et al. ∙

∙ 11/27/2020

Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels

We show that the Riemannian Gaussian distributions on symmetric spaces, ...

0 Leonardo Santilli, et al. ∙

∙ 07/26/2022

Needlets Liberated

Spherical needlets were introduced by Narcowich, Petrushev, and Ward to ...

0 Johann S. Brauchart, et al. ∙

∙ 09/03/2019

Symmetric Triangle Quadrature Rules for Arbitrary Functions

Despite extensive research on symmetric polynomial quadrature rules for ...

0 Brian A. Freno, et al. ∙

∙ 12/09/2015

An Extension of Moebius--Lie Geometry with Conformal Ensembles of Cycles and Its Implementation in a GiNaC Library

We propose to consider ensembles of cycles (quadrics), which are interco...

0 Vladimir V. Kisil, et al. ∙

∙ 11/12/2018

Lectures on Moebius-Lie Geometry and its Extension

These lectures review the classical Moebius-Lie geometry and recent work...

0 Vladimir V. Kisil, et al. ∙