A Note on Optimal Soft Edge Expansions for the Gaussian ${\hat{I}}^2$ Ensembles

Abstract

We present some review material relating to the topic of optimal asymptotic expansions of correlation functions and associated observables for ${\hat{I}}^2$ ensembles in random matrix theory. We also give an introduction to a related line of study that we are presently undertaking.

7 pages, research borne out of collaboration at the MATRIX program 'Log-gases in Caeli Australi'. Fixed a minor typo