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arXiv · 1107.1015

Monotone Hurwitz numbers and the HCIZ integral

Ian P. Goulden·Mathieu Guay-Paquet·Jonathan Novak
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Abstract

In this article, we prove that the complex convergence of the HCIZ free energy is equivalent to the non-vanishing of the HCIZ integral in a neighbourhood of $z=0$. Our approach is based on a combinatorial model for the Maclaurin coefficients of the HCIZ integral together with classical complex-analytic techniques.

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Ian P. Goulden, Mathieu Guay-Paquet, Jonathan Novak. 2014-02-06. Monotone Hurwitz numbers and the HCIZ integral. https://arxiv.org/abs/1107.1015

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