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20152026
most citedOn quasi-conformal (in-) compatibility of satellite copies of the Mandelbrot set: I

5 citations · 16 across the 13 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.DS2024

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…

math.DS2024★ 1 cited

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…