Mating a Siegel disk with the Julia set of a real quadratic polynomial
Authors:
G. Ble and R. Valdez
Journal:
Conform. Geom. Dyn. 10 (2006), 257-284
MSC (2000):
Primary 37F10; Secondary 37F45, 37F50
DOI:
https://doi.org/10.1090/S1088-4173-06-00150-0
Published electronically:
October 5, 2006
MathSciNet review:
2261051
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
G. Ble
Affiliation:
División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, Km. 1 Carr. Cunduacán-Jalpa, C.P. 86690, Cunduacán, Tabasco, México
Email:
gble@ujat.mx
R. Valdez
Affiliation:
Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, col. Lomas de Chamilpa, C.P. 62210 Cuernavaca, Morelos, México
Email:
rogelio@matcuer.unam.mx
Keywords:
Holomorphic dynamics,
rational map,
mating,
Julia set,
Mandelbrot set
Received by editor(s):
February 10, 2006
Published electronically:
October 5, 2006
Additional Notes:
The first author was supported by CONACYT, 42249
The second author was supported by PROMEP, UAEMOR-PTC-166
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
