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math.DS2021★ 2 cited
On geometrically finite degenerations II: convergence and divergence
Yusheng Luo
In this paper, we study quasi post-critically finite degenerations for rational maps. We construct limits for such degenerations as geometrically finite rational maps on a finite t…
math.DS2021★ 2 cited
On geometrically finite degenerations I: boundaries of main hyperbolic components
Yusheng Luo
In this paper, we develop a theory on the degenerations of Blaschke products to study the boundaries of hyperbolic components. We give a combinatorial classificatio…