Mating the Basilica with a Siegel Disk

2014/10/13 by Yang, Jonguk
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.3175

Abstract

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 polynomial is conformally mateable with the basilica polynomial.

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