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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 $z=0$.
E. C. Titchmarsh, The Theory of Functions, Second Edition
1939
Earlier work this paper cites.
Harish-Chandra, Differential operators on a semisimple Lie algebra
1957
Earlier work this paper cites.
C. Itzykson, J.-B. Zuber, The planar approximation. II
1980
Earlier work this paper cites.
L. Pyber, Enumerating finite groups of given order
1993
Earlier work this paper cites.
A. Okounkov, Toda equations for Hurwitz numbers
2000
Earlier work this paper cites.
R. Pandharipande, The Toda equations and the Gromov-Witten theory of the Riemann sphere
2000
Earlier work this paper cites.
T. Ekedahl, S. Lando, M. Shapiro, A. Vainshtein, Hurwitz numbers and intersections on moduli spaces of curves
2001
Earlier work this paper cites.
P. Zinn-Justin, HCIZ integral and 2D Toda lattice hierarchy
2002
Cited alongside, same era.
B. Collins, Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability
2003
Cited alongside, same era.
P. Zinn-Justin, J.-B. Zuber, On some integrals over the U ( N ) U(N) unitary group and their large N N limit
2003
Cited alongside, same era.
I. P. Goulden, D. M. Jackson, Combinatorial Enumeration
2004
Cited alongside, same era.
A. Guionnet, First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models
2004
Cited alongside, same era.
A. Guionnet, Large deviations and stochastic calculus for large random matrices
M. E. Kazarian, S. K. Lando, An algebro-geometric proof of Witten’s conjecture
2007
Later among the works it cites.
B. Collins, A. Guionnet, E. Maurel-Segala, Asymptotics of unitary and orthogonal matrix integrals
2009
Later among the works it cites.
J. Novak, Jucys-Murphy elements and the unitary Weingarten function
2010
Later among the works it cites.
L. Erdős, H.-T. Yau, Universality of local spectral statistics of random matrices
2012
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I. P. Goulden, M. Guay-Paquet, J. Novak, Monotone Hurwitz numbers in genus zero
2013
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I. P. Goulden, M. Guay-Paquet, J. Novak, Polynomiality of monotone Hurwitz numbers in higher genera
2013
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2004
Cited alongside, same era.
B. Collins, P. Śniady, Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
2006
Cited alongside, same era.
I. P. Goulden, M. Guay-Paquet, J. Novak, Toda equations and piecewise polynomiality for mixed double Hurwitz numbers
Cited in the paper.
M. Guay-Paquet, J. Novak, A self-interacting random walk on the symmetric group
Cited in the paper.
A. Hurwitz, Ueber Riemann’sche Flächen mit gegebenen Verzweigegungspunkten
Cited in the paper.
S. Matsumoto, J. Novak, Jucys-Murphy elements and unitary matrix integrals
2013
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