Mating the Basilica with a Siegel Disk

Published 13 Oct 2014 in math.DS | (1410.3175v1)

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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Jonguk Yang

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