15 citations · 64 across the 24 of their papers we have counts for
23 papers · 1 filter
The geometry of the Thurston metric: a survey
Huiping Pan, Weixu Su
This paper is a survey about the Thurston metric on the Teichmüller space. The central issue is the constructions of extremal Lipschitz maps between hyperbolic surfaces. We review…
Optimal geodesics for boundary points of the Gardiner-Masur compactification
Xiaoke Lou, Weixu Su, Dong Tan
The Gardiner-Masur compactification of Teichmüller space is homeomorphic to the horofunction compactification of the Teichmüller metric. Let and be a pair of boundary point…
Counting mapping class group orbits under shearing coordinates
Sicheng Lu, Weixu Su
Let be an oriented surface of genus with punctures, where and . Any ideal triangulation of induces a global parametrization of the Teich…
Dominating surface-group representations into in the relative representation variety
Subhojoy Gupta, Weixu Su
Let be a representation of the fundamental group of a punctured surface into that is not Fuchsian. We prove that there exists a Fuchsian represent…
Horospheres in Teichmüller space and mapping class group
Weixu Su, Dong Tan
We study the geometry of horospheres in Teichmüller space of Riemann surfaces of genus g with n punctures, where . We show that every -diffeomorphism of Teichmül…
Existence of closed geodesics through a regular point on translation surfaces
Duc-Manh Nguyen, Huiping Pan, Weixu Su
We show that on any translation surface, if a regular point is contained in a simple closed geodesic, then it is contained in infinitely many simple closed geodesics, whose directi…