12 citations · 13 across the 15 of their papers we have counts for
5 papers · 1 filter
On the length sets of closed hyperbolic surfaces
Yanlong Hao
For every closed surface of genus , we prove that there exists a countable union of positive-codimension algebraic subsets of Teichmüller space such that, for every h…
Brownian motion and orbit counting of Kleinian groups
Yanlong Hao, Beibei Liu
In this paper, we investigate the relationship between the divergence of Kleinian groups and the recurrence of simple random walks on the Schreier graph associated with . In…
Marked length varieties and arithmeticity
Yanlong Hao
This paper gives an example of a non-arithmetic surface with marked length variety rigidity.
Arithmeticity and geometrical commensurators
Yanlong Hao
We establish a coarse-geometric analogue of Margulis's commensurator criterion for groups acting on good Gromov-hyperbolic spaces. For a non-elementary -lattice ,…
Marked length spectra of Gromov hyperbolic space
Yanlong Hao
Let , be two roughly geodesically complete Gromov hyperbolic spaces under comparable isometric actions of . Assume that the limit set .…