6 citations · 10 across the 9 of their papers we have counts for
10 papers
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…
Inducing recurrent flows by twisting on infinite surfaces with unbounded cuffs
Hrant Hakobyan, Michael Pandazis, Dragomir Saric
A Riemann surface is parabolic if and only if the geodesic flow (for the hyperbolic metric) on the unit tangent bundle of is ergodic. Consider a Riemann surface with a…
Conformal Dimension of the Brownian Graph
Ilia Binder, Hrant Hakobyan, Wen-Bo Li
Conformal dimension of a metric space , denoted by , is the infimum of the Hausdorff dimension among all its quasisymmetric images. If conformal dimension of is eq…
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…
The type problem for Riemann surfaces via Fenchel-Nielsen parameters
Ara Basmajian, Hrant Hakobyan, Dragomir Šarić
A Riemann surface is said to be of \emph{parabolic type} if it supports a Green's function. Equivalently, the geodesic flow on the unit tangent of is ergodic. Given a Riema…
Quasisymmetric embeddings of slit Sierpiński carpets
Hrant Hakobyan, Wenbo Li
We study the problem of quasisymmetrically embedding spaces homeomorphic to the Sierpiński carpet into the plane. In the case of so called dyadic slit carpets, several characteriza…