SIGMA 22 (2026), 056, 10 pages      arXiv:2510.26137      https://doi.org/10.3842/SIGMA.2026.056

GUE Correlators and Large Genus Asymptotics

Jiayi Zhao
School of Mathematical Sciences, University of Science and Technology of China, 230026, P.R. China

Received December 19, 2025, in final form May 29, 2026; Published online June 03, 2026

Abstract
In this paper, we use a formula obtained by Dubrovin and Yang (2017) 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.

Key words: GUE correlator; ribbon graph; ordinary graph; large genus asymptotics; matrix-resolvent formula.

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