6 papers
Counting and equidistribution of reciprocal geodesics and dihedral groups
Viveka Erlandsson, Juan Souto
We study the growth of the number of conjugacy classes of infinite dihedral subgroups of lattices in PSL(2,R), generalizing earlier work of Sarnak and Bourgain-Kontorovich on the g…
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…
Counting curves on orbifolds
Viveka Erlandsson, Juan Souto
We show that Mirzakhani's curve counting theorem also holds if we replace surfaces by orbifolds.
Genericity of pseudo-Anosov mapping classes, when seen as mapping classes
Viveka Erlandsson, Juan Souto, Jing Tao
We prove that pseudo-Anosov mapping classes are generic with respect to certain notions of genericity reflecting that we are dealing with mapping classes.
You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces
Moon Duchin, Viveka Erlandsson, Christopher J. Leininger +1
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tab…
Length functions on currents and applications to dynamics and counting
Viveka Erlandsson, Caglar Uyanik
The aim of this (mostly expository) article is twofold. We first explore a variety of length functions on the space of currents, and we survey recent work regarding applications of…