2 papers
math.CV2025
Exhaustions of circle domains
Dimitrios Ntalampekos, Kai Rajala
Koebe's conjecture asserts that every domain in the Riemann sphere is conformally equivalent to a circle domain. We prove that every domain satisfying Koebe's conjecture admit…
math.CV2024
Uniformization of Gromov hyperbolic domains by circle domains
Christina Karafyllia, Dimitrios Ntalampekos
We prove that a domain in the Riemann sphere is Gromov hyperbolic if and only if it is conformally equivalent to a uniform circle domain. This resolves a conjecture of Bonk--Heinon…