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math.DS2023
Mirrors of conformal dynamics: Interplay between anti-rational maps, reflection groups, Schwarz reflections, and correspondences
Mikhail Lyubich, Sabyasachi Mukherjee
The goal of this survey is to present intimate interactions between four branches of conformal dynamics: iterations of anti-rational maps, actions of Kleinian reflection groups, dy…
math.DS2023★ 1 cited
MLC at Feigenbaum points
Dzmitry Dudko, Mikhail Lyubich
We prove a priori bounds for Feigenbaum quadratic polynomials, i.e., infinitely renormalizable polynomials of bounded type. It implies local connectivity of t…