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math.GT2026
A Theorem of Wolpert, and some Variations
Ludovico Battista, Nolwenn Le Quellec, Juan Souto
We give a streamlined proof of the fact that generically, isospectral hyperbolic surfaces are isometric. We also prove some versions of this result allowing for quasi-Fuchsian grou…
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…