TL;DR
This paper investigates the asymptotic behavior of GUE correlators, connecting them to the enumeration of graphs with one face, and derives large genus asymptotics using a specific formula.
Contribution
It provides new large genus asymptotic formulas for GUE correlators and related graph enumerations, extending previous understanding in random matrix theory.
Findings
Derived large genus asymptotics for GUE correlators
Connected GUE correlators to enumeration of graphs with one face
Extended asymptotic analysis to ribbon graphs
Abstract
In this paper, we use a formula obtained in [8] to study certain asymptotic behaviors of GUE (Gaussian unitary ensemble) correlators. More precisely, we obtain large genus asymptotics of enumerations of ordinary graphs and ribbon graphs with 1 face.
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