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math.DS2026
Tessellating the discreteness locus for the modular mating family of correspondences
Shaun Bullett, Luna Lomonaco, Arcelino Lobato do Nascimento +2
The modular Mandelbrot set , the connectedness locus of the modular mating family of 2 : 2 holomorphic correspondences on the Riemann sphere, is homeomorphic t…
math.DS2026
Matings between compositions of rational maps and free products of finite cyclic groups
Shaun Bullett, Luna Lomonaco, Miguel Ratis Laude
Given a pair of rational maps , of degrees and , each with a parabolic fixed point having a fully invariant simply-connected basin of attraction, we construct an alg…