5 citations · 6 across the 5 of their papers we have counts for
14 papers · 1 filter
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…
Distribution in the unit tangent bundle of the geodesics of given type
Viveka Erlandsson, Juan Souto
Recall that two geodesics in a negatively curved surface are of the same type if their free homotopy classes differ by a homeomorphism of the surface. In this note we study the…
Hyperbolic cone metrics and billiards
Viveka Erlandsson, Christopher J. Leininger, Chandrika Sadanand
A negatively curved hyperbolic cone metric is called rigid if it is determined (up to isotopy) by the support of its Liouville current, and flexible otherwise. We provide a complet…
Counting curves on orbifolds
Viveka Erlandsson, Juan Souto
We show that Mirzakhani's curve counting theorem also holds if we replace surfaces by orbifolds.