Mating a Siegel disk with the Julia set of a real quadratic polynomial

Ble, G.; Valdez, R.

doi:10.1090/S1088-4173-06-00150-0

Mating a Siegel disk with the Julia set of a real quadratic polynomial
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by G. Ble and R. Valdez

Conform. Geom. Dyn. 10 (2006), 257-284

DOI: https://doi.org/10.1090/S1088-4173-06-00150-0

Published electronically: October 5, 2006

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Abstract:

In this work, we show that it is possible to construct the mating between a quadratic polynomial with a Siegel disk and a real quadratic polynomial possessing a postcritical orbit that is semi-conjugate to a rigid rotation with the same rotation number as the Siegel disk.

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