3 papers
math.DS2026
Quadratic differentials and random walks on the dual graph of a pants decomposition
Charles Bordenave, Xinlong Dong, Dragomir Å ariÄ
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…
math.CV2025
Teichmüller extremal maps on infinite Riemann surfaces
Dragomir Å ariÄ
Let be an arbitrary Riemann surface. We establish a necessary and sufficient criterion for to have a Teichmüller-type extremal map.
math.CV2024
On the derivatives of the Liouville currents
Xinlong Dong, Dragomir Å ariÄ, 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 i…