preprint-author: 
Dzmitry Dudko, Mikhail Lyubich
preprint-title: 
Uniform a priori bounds for neutral renormalization
preprint-abstract: 

We prove uniform 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, we construct the Mother Hedgehog for any quadratic polynomial with a neutral periodic point.

arXiv.2210.09280

preprint-year: 
2022