Quasimodular Asymptotics of Spherical Integrals
Combinatorics
2025-02-21 v1 Mathematical Physics
math.MP
Number Theory
Abstract
We show that the spherical integral of the Circular Unitary Ensemble converges in expectation to Euler's generating function for integer partitions, and that subleading corrections to this high-dimensional limit are quasimodular forms.
Cite
@article{arxiv.2502.14056,
title = {Quasimodular Asymptotics of Spherical Integrals},
author = {Jonathan Novak},
journal= {arXiv preprint arXiv:2502.14056},
year = {2025}
}
Comments
15 pages, no figures