14 citations · 69 across the 27 of their papers we have counts for
29 papers
Holomorphic realizations of pairs of foliations on Riemann surfaces
Nathaniel Sagman, Dragomir Saric
Let be a hyperbolic Riemann surface and let and be laminations on homotopic to measured foliations with finite Dirichlet integral. We prove that and are fil…
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…
Quadratic differentials and function theory on Riemann surfaces
Dragomir Saric
A finite-area holomorphic quadratic differentials on an arbitrary Riemann surface is uniquely determined by its horizontal measured foliation. By extending our pri…
Circle homeomorphisms with square summable diamond shears
Dragomir Šarić, Yilin Wang, Catherine Wolfram
We introduce and the study the space of homeomorphisms of the circle (up to Möbius transformations) which are in with respect to modular coordinates called diamond shears…
Quasisymmetric maps, shears, lambda lengths and flips
Hugo Parlier, Dragomir Šarić
We study quasisymmetric maps, which act on the boundary of the hyperbolic plane, by looking at their action on the Farey triangulation. Our main results identify exactly which quas…
On complex extension of the Liouville map
Xinlong Dong, Dragomir Saric
The Liouville map assigns to each point in the Teichmüller space a positive Radon measure on the space of geodesics of the universal covering of the base Riemann surface. This cons…