High genus one part monotone Hurwitz numbers
Combinatorics
2026-04-02 v1 Geometric Topology
Abstract
We obtain bivariate asymptotics for one part monotone Hurwitz numbers in high genus (i.e. as both the size and the genus go to infinity). To do so, we start with a linear recurrence for these numbers obtained by Do and Chaudhuri. Then, we apply a recent method developped by Elvey-Price, Fang, Wallner and the second author to extract asymptotics from such recurrences.
Keywords
Cite
@article{arxiv.2604.01190,
title = {High genus one part monotone Hurwitz numbers},
author = {Simon Barazer and Baptiste Louf},
journal= {arXiv preprint arXiv:2604.01190},
year = {2026}
}
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13 pages