Operator limit of the circular beta ensemble
Probability
2020-06-18 v1
Abstract
We provide a precise coupling of the finite circular beta ensembles and their limit process via their operator representations. We prove explicit bounds on the distance of the operators and the corresponding point processes. We also prove an estimate on the beta-dependence in the process.
Keywords
Cite
@article{arxiv.1710.06988,
title = {Operator limit of the circular beta ensemble},
author = {Benedek Valkó and Bálint Virág},
journal= {arXiv preprint arXiv:1710.06988},
year = {2020}
}
Comments
31 pages, 1 figure