3 papers
math.DS2025
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…
math.DS2025
Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Pressure 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_…
math.DS2024
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…