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math.DS2026
Uniformization of Julia sets of geometrically finite rational maps
Yusheng Luo, Dimitrios Ntalampekos
A Schottky set is the complement of a collection of disjoint open disks in the Riemann sphere. We completely characterize geometrically finite rational maps whose Julia sets are qu…
math.DS2017★ 3 cited
Semi-hyperbolic rational maps and size of Fatou components
Dimitrios Ntalampekos
Recently Merenkov and Sabitova introduced the notion of a homogeneous planar set. Using this notion they proved a result for Sierpiski carpet Julia sets of hyperbolic rational…