3 papers
math.DS2026
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.DS2025
Real Rational Surface Automorphisms : Positivity and Linearity
Kyounghee Kim, Insung Park
We study the real dynamics of a family of rational surface automorphisms obtained from quadratic birational maps of $\pcc$ that preserve a cuspidal cubic and whose critical orbits…
math.DS2025
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…