41 citations · 279 across the 62 of their papers we have counts for
48 papers · 1 filter
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…
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…
Holomorphic maps between moduli spaces II
Rodrigo De Pool, Juan Souto
We prove that forgetful maps are the only non-constant holomorphic maps between moduli spaces, as long as and $g'\le 3\cdot 2^{g…
On the distribution of the components of multicurves of given type
Viveka Erlandsson, Juan Souto
We study the distribution of the individual components of a random multicurve under the action of the mapping class group.
Counting geodesics of given commutator length
Viveka Erlandsson, Juan Souto
Let be a closed hyperbolic surface. We study, for fixed , the asymptotics of the number of those periodic geodesics in having at most length and which can be written…
Mapping class group orbit closures for non-orientable surfaces
Viveka Erlandsson, Matthieu Gendulphe, Irene Pasquinelli +1
Let be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in and $\mathcal P\mat…