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Monotone Hurwitz numbers and the HCIZ integral
Published 6 Jul 2011 in math.CO, math-ph, math.AG, and math.MP | (1107.1015v4)
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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