A Note on Optimal Soft Edge Expansions for the Gaussian $\beta$ Ensembles
Mathematical Physics
2026-03-20 v3 math.MP
Abstract
We present some review material relating to the topic of optimal asymptotic expansions of correlation functions and associated observables for ensembles in random matrix theory. We also give an introduction to a related line of study that we are presently undertaking.
Cite
@article{arxiv.2510.13092,
title = {A Note on Optimal Soft Edge Expansions for the Gaussian $\beta$ Ensembles},
author = {Peter J. Forrester and Anas A. Rahman and Bo-Jian Shen},
journal= {arXiv preprint arXiv:2510.13092},
year = {2026}
}
Comments
7 pages, research borne out of collaboration at the MATRIX program 'Log-gases in Caeli Australi'. Fixed a minor typo