English

Cubature rules for unitary Jacobi ensembles

Numerical Analysis 2023-05-03 v1 Numerical Analysis Classical Analysis and ODEs

Abstract

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.

Cite

@article{arxiv.2305.01289,
  title  = {Cubature rules for unitary Jacobi ensembles},
  author = {Jan Felipe van Diejen and Erdal Emsiz},
  journal= {arXiv preprint arXiv:2305.01289},
  year   = {2023}
}

Comments

10 pages, 1 table

R2 v1 2026-06-28T10:23:14.164Z