72 citations · 481 across the 42 of their papers we have counts for
4 papers · 2 filters
Hyperbolicity in Teichmüller space
Kasra Rafi
We review and organize some results describing the behavior of a Teichmüller geodesic and draw several applications: 1) We show that Teichmüller geodesics do not back track. 2) We…
Bounded combinatorics and the Lipschitz metric on Teichmüller space
Anna Lenzhen, Kasra Rafi, Jing Tao
Considering the Teichmüller space of a surface equipped with Thurston's Lipschitz metric, we study geodesic segments whose endpoints have bounded combinatorics. We show that these…
Grafting rays fellow travel Teichmuller geodesics
Young-Eun Choi, David Dumas, Kasra Rafi
Given a measured geodesic lamination on a hyperbolic surface, grafting the surface along multiples of the lamination defines a path in Teichmuller space, called the grafting ray. W…
Length of a curve is quasi-convex along a Teichmuller geodesic
Anna Lenzhen, Kasra Rafi
We show that for every simple closed curve α, the extremal length and the hyperbolic length of αare quasi-convex functions along any Teichmuller geodesic. As a corollary, we conclu…