70 citations · 165 across the 25 of their papers we have counts for
7 papers · 1 filter
Subgraph Entropy
Tarik Aougab, Matt Clay, Tawfiq Hamed
Given , we prove that there exists depending only on so that if is a metric graph of rank with metric entropy , then there exists a proper subgraph $…
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…
Right-angled Artin groups as normal subgroups of mapping class groups
Matt Clay, Johanna Mangahas, Dan Margalit
We construct the first examples of normal subgroups of mapping class groups that are isomorphic to non-free right-angled Artin groups. Our construction also gives normal, non-free…
Abstract commensurators of right-angled Artin groups and mapping class groups
Matt Clay, Christopher J. Leininger, Dan Margalit
We prove that, aside from the obvious exceptions, the mapping class group of a compact orientable surface is not abstractly commensurable with any right-angled Artin group. Our arg…
Uniform hyperbolicity of the curve graph via surgery sequences
Matt Clay, Kasra Rafi, Saul Schleimer
We prove that the curve graph $\calC^{(1)}(S)$ is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface . The proof is based on the proof of hyperbolicit…
Turn graphs and extremal surfaces in free groups
Noel Brady, Matt Clay, Max Forester
This note provides an alternate account of Calegari's rationality theorem for stable commutator length in free groups.