From the 1 of 6 linked papers with an AI index.
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6 papers
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
The authors construct algebraic correspondences on the Riemann sphere that realize matings between compositions of rational maps and faithful discrete representations of free produ…
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…
Algebraic correspondences and Schwarz reflections: Where rational dynamics meets Kleinian groups
Luna Lomonaco, Sabyasachi Mukherjee
We present an overview of the rapidly evolving field of dynamics of algebraic correspondences, with a focus on matings between rational maps and Kleinian groups. These corresponden…
On qc compatibility of satellite copies of the Mandelbrot set: II
Luna Lomonaco, Carsten Lunde Petersen
The Mandelbrot set is a fractal which classifies the behaviour of complex quadratic polynomials. Although its remarkably simple definition: $\mathcal{M}:=\{c \in \mathbb{C}\,|\,Q_c…
David regularity of the Yoccoz extension
Luna Lomonaco, Lucas Oliveira, Miguel Ratis Laude
A central problem in the study of critical circle dynamics is understanding the regularity of Yoccoz conjugators - circle homeomorphisms that conjugate critical circle maps with ir…