4 papers
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.CO2026
Upper bound of some character ratios and large genus asymptotic behavior of Hurwitz numbers
Xiang Li
In [14] we found the large genus asymptotics of Hurwitz numbers for the Riemann sphere with a fixed number of general profiles and some (2,1^{d-2}) profiles. In this paper, motivat…
math.CO2026
On large genus asymptotics of certain Hurwitz numbers
Xiang Li
In this paper, based on the value of central character on the transposition, we find structure and large genus asymptotics of certain Hurwitz numbers.
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…