9 citations · 10 across the 4 of their papers we have counts for
9 papers
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…
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 …
Determining the finite subgraphs of curve graphs
Tarik Aougab, Ian Biringer, Jonah Gaster
We prove that there is an algorithm to determine if a given finite graph is an induced subgraph of a given curve graph.
Counting curve types
Tarik Aougab, Juan Souto
Let be a closed orientable hyperbolic surface, and let denote the number of mapping class group orbits of curves on with at most self-intersections.…
Building hyperbolic metrics suited to closed curves and applications to lifting simply
Tarik Aougab, Jonah Gaster, Priyam Patel +1
Let be an essential closed curve with at most self-intersections on a surface with negative Euler characteristic. In this paper, we construct a hyperbolic met…