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math.GT2011
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…
math.GT2011★ 4 cited
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…