4 papers
The Uhlmann phase of Higher-Order Topological Insulators at Finite Temperature
Shiyu Chen, Yan He
We have studied the finite-temperature topology of higher-order topological insulators (HOTIs) based on the Uhlmann phase, which is a phase angle of the Uhlmann overlap. As an exam…
Complex Diophantine Approximations and Cusp Excursions
Nathan Dalaklis, Yan Mary He
We study the Hausdorff dimension spectrum of asymptotic approximation rates of complex Diophantine approximation and that of the asymptotic average excursion time of cusp excursion…
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_…
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…