31 citations · 100 across the 28 of their papers we have counts for
4 papers · 1 filter
Thermodynamic metrics on outer space
Tarik Aougab, Matt Clay, Yo'av Rieck
In this paper we consider two piecewise Riemannian metrics defined on the Culler-Vogtmann outer space which we call the entropy metric and the pressure metric. As a result of work…
Curves on the torus intersecting at most k times
Tarik Aougab, Jonah Gaster
We show that any set of distinct homotopy classes of simple closed curves on the torus that pairwise intersect at most times has size . Prior to this wo…
Isometry groups of infinite-genus hyperbolic surfaces
Tarik Aougab, Priyam Patel, Nicholas G. Vlamis
Given a 2-manifold, a fundamental question to ask is which groups can be realized as the isometry group of a Riemannan metric of constant curvature on the manifold. In this paper,…
Characterizing covers via simple closed curves
Tarik Aougab, Max Lahn, Marissa Loving +1
Given two finite covers and of a connected, oriented, closed surface of genus at least , we attempt to characterize the equivalence of and …