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Quasimodular Asymptotics of Spherical Integrals

Published 19 Feb 2025 in math.CO, math-ph, math.MP, and math.NT | (2502.14056v1)

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.

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Authors (1)

  1. Jonathan Novak 

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