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arXiv:2210.09280 [math.DS]AbstractReferencesReviewsResources

Uniform a priori bounds for neutral renormalization

Dzmitry Dudko, Mikhail Lyubich

Published 2022-10-17Version 1

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.

Categories: math.DS
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