3 papers
math.CV2026
When a meromorphic function that omits three values has a bounded type
Alexandre Eremenko, Aleksei Kulikov, Mikhail Sodin
Suppose that a function is meromorphic in the domain , where is an even, positive, and continuous function…
math.CV2025
On the Shapes of Rational Lemniscates
Christopher J. Bishop, Alexandre Eremenko, Kirill Lazebnik
A rational lemniscate is a level set of where is rational. We prove that any planar Euler graph can be approximated, in a s…
math.CV2024
Carathéodory convergence and the conformal type problem
Alexandre Eremenko, Sergei Merenkov
We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the confo…