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math.CO2026
Very high genus double Hurwitz numbers via mixing times
Baptiste Louf, Lucas Teyssier
We obtain very high genus asymptotics for double Hurwitz numbers when both the size and the genus go to infinity, under the constraint that grows much faster than ,…
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…