10 citations · 17 across the 6 of their papers we have counts for
6 papers
A topological viewpoint on curves via intersection
Hugo Parlier, Binbin Xu
This paper explores the relationship between closed curves on surfaces and their intersections. Like Dehn-Thurston coordinates for simple curves, we explore how to determine closed…
A note on generalized -difference equations for general Al-Salam--Carlitz polynomials
Jian Cao, Binbin Xu, Sama Arjika
In this paper, we deduce the generalized -difference equations for general Al-Salam--Carlitz polynomials and generalize Arjika's recently results [-difference equation for ho…
Bowditch's Q-conditions and Minsky's primitive stability
Jaejeong Lee, Binbin Xu
For the action of the outer automorphism group of the rank two free group on the corresponding variety of PSL(2,C) characters, two domains of discontinuity have been known to exist…
Carrier graphs for representations of the rank two free group into isometries of hyperbolic three space
Ser Peow Tan, Binbin Xu
Carrier graphs were first introduced for closed hyperbolic 3-manifolds by White. In this paper, we first generalize this definition to carrier graphs for representations of a rank…
Incompleteness of pressure metric on Teichmüller space of a bordered surface
Binbin Xu
We prove that the pressure metric on the Teichmüller space of a bordered surface is incomplete and its partial completion can be given by the moduli space of metric graphs for a fa…
On the Ambartzumian-Pleijel identity in hyperbolic geometry
Xu Binbin
We describe a hyperbolic version of the Ambartzumian-Pleijel identity. We use this identity to prove the hyperbolic Crofton formula and the hyperbolic isoperimetric inequality. Thi…