3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
Lines of minima are uniformly quasi-geodesic
Young-Eun Choi, Kasra Rafi, Caroline Series
We continue the comparison between lines of minima and Teichmueller geodesics begun in [CRS1]. We show that in the Teichmueller space of a surface S, lines of minima are quasi-geod…
Lines of minima and Teichmuller geodesics
Young-Eun Choi, Kasra Rafi, Caroline Series
For two measured laminations and that fill up a hyperbolizable surface and for , let be the unique hyperbolic surface that minimizes…
Comparison Between Teichmuller and Lipschitz Metrics
Young-Eun Choi, Kasra Rafi
We study the Lipschitz metric on Teichmuller space (defined by Thurston) and compare it with the Teichmuller metric. We show that in the thin part of Teichmuller space the Lipschit…
Lengths are coordinates for convex structures
Young-Eun Choi, Caroline Series
Suppose that N is a geometrically finite orientable hyperbolic 3-manifold. Let P(N,C) be the space of all geometrically finite hyperbolic structures on N whose convex core is bent…