Equidistribution and $\beta$ ensembles
Complex Variables
2018-10-24 v1 Probability
Abstract
We find the precise rate at which the empirical measure associated to a -ensemble converges to its limiting measure. In our setting the -ensemble is a random point process on a compact complex manifolds distributed according to the power of a determinant of sections in a positive line bundle. A particular case is the spherical ensemble of generalized random eigenvalues of pairs of matrices with independent identically distributed Gaussian entries.
Cite
@article{arxiv.1509.06725,
title = {Equidistribution and $\beta$ ensembles},
author = {T. Carroll and J. Marzo and X. Massaneda and J. Ortega-Cerdà},
journal= {arXiv preprint arXiv:1509.06725},
year = {2018}
}