6 citations · 10 across the 9 of their papers we have counts for
5 papers · 1 filter
Quasisymmetric Koebe Uniformization of metric surfaces
Hrant Hakobyan, Jonathan Rehmert
We study when a metric surface can be mapped quasisymmetrically onto a circle domain with uniformly relatively separated boundary components. Bonk \cite{Bo…
Divergent geodesics in the Universal Teichmüller space
Xinlong Dong, Hrant Hakobyan
Thurston boundary of the universal Teichmüller space is the space of projective bounded measured laminations of . A geodesic ray…
Quasisymmetrically co-Hopfian Sierpiński Spaces and Menger Curve
Hrant Hakobyan
A metric space is quasisymmetrically co-Hopfian if every quasisymmetric embedding of into itself is onto. We construct the first examples of metric spaces homeomorphic to t…
Limits of Teichmüller geodesics in the Universal Teichmüller space
Hrant Hakobyan, Dragomir Saric
Thurston's boundary to the universal Teichmüller space is the set of asymptotic rays to the embedding of in the space of geodesic currents; the boun…
Vertical Limits of Graph Domains
Hrant Hakobyan, Dragomir Saric
We consider the limiting behavior of Teichmüller geodesics in the universal Teichmüller space . Our main result states that the limits of the Teichmüller geodesics i…