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math.GT2024
Simultaneous Uniformization and Algebraic Correspondences
Mahan Mj, Sabyasachi Mukherjee
We prove a generalization of Bers' simultaneous uniformization theorem in the world of algebraic correspondences. More precisely, we construct algebraic correspondences that simult…
math.DS2024★ 1 cited
A general dynamical theory of Schwarz reflections, B-involutions, and algebraic correspondences
Yusheng Luo, Mikhail Lyubich, Sabyasachi Mukherjee
In this paper, we study matings of (anti-)polynomials and Fuchsian, reflection groups as Schwarz reflections, B-involutions or as (anti-)holomorphic correspondences, as well as the…
math.DS2024★ 1 cited
Mating parabolic rational maps with Hecke groups
Shaun Bullett, Luna Lomonaco, Mikhail Lyubich +1
We prove that any degree rational map having a parabolic fixed point of multiplier with a fully invariant and simply connected immediate basin of attraction is mateable wit…