4 papers
Singularity of Furstenberg measure for infinite covolume discrete subroups in higher rank
Homin Lee, Wouter Van LimBeek, Giulio Tiozzo
We consider symmetric random walks on discrete, Zariski-dense subgroups of a semisimple Lie group with Property (T). We prove that if has infinite covolume, then the as…
Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Weil-Petersson Metric
Yan Mary He, Homin Lee, Insung Park
In this paper, we study complex analytic aspects of the moduli space $\Bcal_d^{fm}$ of degree fixed-point-marked Blaschke products. We define a complex structure on $\Bcal_…
Partially hyperbolic lattice actions on 2-step nilmanifolds
Homin Lee, Sven Sandfeldt
We prove global rigidity results for actions of higher rank lattices on nilmanifolds containing a partially hyperbolic element. We consider actions of higher rank lattices on tori…
Pressure metrics in geometry and dynamics
Yan Mary He, Homin Lee, Insung Park
In this article, we first provide a survey of pressure metrics on various deformation spaces in geometry, topology, and dynamics. Then we discuss pressure semi-norms and their dege…