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math-ph2026
Combinatorics and asymptotic behavior for double Hurwitz numbers
Xiang Li
Polynomial-in-time algorithms for computing classical Hurwitz numbers were given in [4] based on the Pandharipande equation. The paritition function of double Hurwitz numbers was p…
math-ph2022
2D Toda Functions, Weighted Hurwitz Numbers and the Cayley Graph: Determinant Representation and Recursion Formula
Xiang-Mao Ding, Xiang Li
We generalize the determinant representation of the KP functions to the case of the 2D Toda functions. The generating functions for the weighted Hurwitz numbers are a param…