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math.DS2024
Renormalization of Unicritical Diffeomorphisms of the Disk
Sylvain Crovisier, Mikhail Lyubich, Enrique Pujals +1
We introduce a class of infinitely renormalizable, unicritical diffeomorphisms of the disk (with a non-degenerate "critical point"). In this class of dynamical systems, we show tha…
math.DS2014
Mating the Basilica with a Siegel Disk
Jonguk Yang
Consider a quadratic polynomial with a fixed Siegel disc of bounded type. Using an adaptation of complex a priori bounds for critical circle maps, we prove that this Siegel polynom…