1 citations · 5 across the 8 of their papers we have counts for
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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…
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…
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…
Mating quadratic maps with the modular group III: The modular Mandelbrot set
Shaun Bullett, Luna Lomonaco
We prove that there exists a homeomorphism between the connectedness locus for the family of holomorphic correspondences introduced by B…
Correspondences in complex dynamics
Shaun Bullett, Luna Lomonaco, Carlos Siqueira
This paper surveys some recent results concerning the dynamics of two families of holomorphic correspondences, namely defined by the relation $$\left( \fra…
Dynamics of Modular Matings
Shaun Bullett, Luna Lomonaco
We develop dynamical theory for the family of holomorphic correspondences proved by the current authors to be matings between the modular group and parabolic ration…