1 citations · 1 across the 7 of their papers we have counts for
10 papers
Quadratic differentials and random walks on the dual graph of a pants decomposition
Charles Bordenave, Xinlong Dong, Dragomir Šarić
Let X be an infinite Riemann surface with an upper-bounded geodesic pants decomposition. The vertices of the corresponding dual graph G are pairs of pants and edges are cuffs with…
Teichmüller extremal maps on infinite Riemann surfaces
Dragomir Šarić
Let be an arbitrary Riemann surface. We establish a necessary and sufficient criterion for to have a Teichmüller-type extremal map.
On the derivatives of the Liouville currents
Xinlong Dong, Dragomir Šarić, Zhe Wang
The Liouville map, introduced by Bonahon, assigns to each point in the Teichmüller space a natural Radon measure on the space of geodesics of the base surface. The Liouville map is…
Ergodicity of the geodesic flow on symmetric surfaces
Michael Pandazis, Dragomir Šarić
We consider conditions on the Fenchel-Nielsen parameters of a Riemann surface that guarantee the surface is of parabolic type. An interesting class of Riemann surfaces for…
Shears for quasisymmetric maps
Dragomir Šarić
We give an elementary proof of a theorem that characterizes quasisymmetric maps of the unit circle in terms of shear coordinates on the Farey tesselation. The proof only uses the n…
Train tracks and measured laminations on infinite surfaces
Dragomir Šarić
Let be an infinite Riemann surface equipped with its conformal hyperbolic metric such that the action of the covering group on is of the first kind-i.e., t…
Convergence of Teichmüller deformations in the universal Teichmüller space
Hideki Miyachi, Dragomir Šarić
Let be an integrable holomorphic function on the unit disk and the Teichmüller disk in the universal Teic…
Earthquakes in the length-spectrum Teichmüller spaces
Dragomir Šarić
Let be a complete hyperbolic surface of infinite type that has a geodesic pants decomposition with cuff lengths bounded above. The length spectrum Teichmüller space $T_{ls}(X…
Fenchel-Nielsen coordinates on upper bounded pants decompositions
Dragomir Šarić
Let be an infinite genus hyperbolic surface (whose boundary components, if any, are closed geodesics or punctures) which has an upper bounded pants decomposition. The length…
Bendings by finitely additive transverse cocycles
Dragomir Šarić
Let be any closed hyperbolic surface and let be a maximal geodesic lamination on . The amount of bending of an abstract pleated surface (homeomorphic to ) with the pl…