On the convergence of monotone Hurwitz generating functions

DOI10.1007/s00026-017-0341-5zbMath1359.05003arXiv1602.00641OpenAlexW2963227754MaRDI QIDQ521908

Jonathan Novak, Mathieu Guay-Paquet, Ian P. Goulden

Publication date: 12 April 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00641

zbMATH Keywords

generating functionsHurwitz numberswalks in graphs

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Graph minors (05C83)

Related Items (7)

Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices ⋮ Monotone Hurwitz numbers and the HCIZ integral ⋮ Asymptotics for real monotone double Hurwitz numbers ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ Jacobi ensemble, Hurwitz numbers and Wilson polynomials ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III

Cites Work

• Unnamed Item
• Unnamed Item
• Polynomiality of monotone Hurwitz numbers in higher genera
• Monotone Hurwitz numbers and the HCIZ integral
• Lozenge tilings and Hurwitz numbers
• Parking functions and noncrossing partitions
• Toda equations for Hurwitz numbers
• Parking functions of types A and B
• Monotone orbifold Hurwitz numbers
• Enumerating finite groups of given order
• Symmetric polynomials and the center of the symmetric group ring
• Two-dimensional QCD is a string theory
• Gromov-Witten theory, Hurwitz theory, and completed cycles
• Towards the geometry of double Hurwitz numbers
• Monotone Hurwitz Numbers in Genus Zero
• Jucys-Murphy elements and the unitary Weingarten function
• Jucys–Murphy Elements and Unitary Matrix Integrals

This page was built for publication: On the convergence of monotone Hurwitz generating functions