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math.DS2025
Matings, holomorphic correspondences, and a Bers slice
Mahan Mj, Sabyasachi Mukherjee
There are two frameworks for mating Kleinian groups with rational maps on the Riemann sphere: the algebraic correspondence framework due to Bullett-Penrose-Lomonaco \cite{BP94,BL20…
math.DS2024
Antiholomorphic correspondences and mating I: realization theorems
Mikhail Lyubich, Jacob Mazor, Sabyasachi Mukherjee
In this paper, we bring together four different branches of antiholomorphic dynamics: of global anti-rational maps, reflection groups, Schwarz reflections in quadrature domains, an…