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math.CO2011★ 18 cited
Monotone Hurwitz numbers and the HCIZ integral II
Ian P. Goulden, Mathieu Guay-Paquet, Jonathan Novak
Motivated by results for the HCIZ integral in Part I of this paper, we study the structure of monotone Hurwitz numbers, which are a desymmetrized version of classical Hurwitz numbe…
math.CO2011★ 2 cited
Monotone Hurwitz numbers and the HCIZ integral
Ian P. Goulden, Mathieu Guay-Paquet, Jonathan Novak
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 . Our approach is…