2 papers
math.CO2026
High genus one part monotone Hurwitz numbers
Simon Barazer, Baptiste Louf
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 recurrenc…
math.CO2025
Volumes of moduli spaces of directed ribbon graphs and Cut-and-Join operators
Simon Barazer
In this paper, we investigate the algebraic structure underlying the acyclic decomposition. This decomposition applies to directed metric ribbon graphs and enables the recursive co…