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math.DS2024
Uniform a priori bounds for neutral renormalization
Dzmitry Dudko, Mikhail Lyubich
We prove uniform ``pseudo-Siegel'' a priori bounds for Siegel disks of bounded type that give a uniform control of oscillations of their boundaries in all scales. As a consequence,…
math.DS2024
Antiholomorphic correspondences and mating I: realization theorems
Mikhail Lyubich, Jacob Mazor, Sabyasachi Mukherjee
In this paper, we bring together four different branches of antiholomorphic dynamics: of global anti-rational maps, reflection groups, Schwarz reflections in quadrature domains, an…