works on
algebraic correspondences 1complex dynamics 1kleinian groups 1mating 1rational maps 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

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

The authors construct algebraic correspondences on the Riemann sphere that realize matings between compositions of rational maps and faithful discrete representations of free produ…

math.DS2025

Continuity of matings of Kleinian groups and polynomials

Miguel Ratis Laude

In recent years, the study of holomorphic correspondences as dynamical systems that can display behaviors of both rational maps and Kleinian groups has gained a good amount of atte…

math.DS2025

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…