56 citations · 120 across the 14 of their papers we have counts for
3 papers · 1 filter
Spheres in the curve complex
Spencer Dowdall, Moon Duchin, Howard Masur
In this paper we study the geometry of metric spheres in the curve complex of a surface, with the goal of determining the "average" distance between points on a given sphere. Avera…
Filling loops at infinity in the mapping class group
Aaron Abrams, Noel Brady, Pallavi Dani +2
We study the Dehn function at infinity in the mapping class group, finding a polynomial upper bound of degree four. This is the same upper bound that holds for arbitrary right-angl…
Statistical hyperbolicity in Teichmüller space
Spencer Dowdall, Moon Duchin, Howard Masur
In this paper we explore the idea that Teichmüller space is hyperbolic "on average." Our approach focuses on studying the geometry of geodesics which spend a definite proportion of…