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Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point
Author(s):
Shizuo
Nakane
Journal:
Conform. Geom. Dyn.
13
(2009),
110-123.
MSC (2000):
Primary 37F45;
Secondary 37F30
Posted:
March 26, 2009
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Abstract:
In this article, we study what we call the Branner-Hubbard-Lavaurs deformation of real cubic polynomials with a parabolic fixed point of multiplier one. It turns out that the existence of non-trivial deformations corresponds to the oscillation of stretching rays and discontinuity of the wring operation.
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Additional Information:
Shizuo
Nakane
Affiliation:
Tokyo Polytechnic University, 1583 Iiyama, Atsugi, Kanagawa 243-0297, Japan
Email:
nakane@gen.t-kougei.ac.jp
DOI:
10.1090/S1088-4173-09-00192-1
PII:
S 1088-4173(09)00192-1
Keywords:
Branner-Hubbard deformation,
Lavaurs map
Received by editor(s):
July 10, 2008
Posted:
March 26, 2009
Additional Notes:
The author was supported in part by Grant-in-Aid for Scientific Research (No.17540177), Japan Society for the Promotion of Science.
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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