2 papers
math.GT2026
Large genus asymptotics for frequency of non-simple curves
Mingkun Liu, Kasra Rafi, Juan Souto +1
We give an expression for the frequency of non-simple curves in closed surfaces and exploit it to study relative frequencies of such curves in large genus. This extend to the case…
math.GT2022
Length partition of random multicurves on large genus hyperbolic surfaces
Delecroix Vincent, Liu Mingkun
We study the length statistics of the components of a random multicurve on a surface of genus . For each fixed genus, the existence of such statistics follows from the wo…