Conformal Geometry and Dynamics

ISSN 1088-4173



Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point

Author: Shizuo Nakane
Journal: Conform. Geom. Dyn. 13 (2009), 110-123
MSC (2000): Primary 37F45; Secondary 37F30
Published electronically: March 26, 2009
MathSciNet review: 2491720
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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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Shizuo Nakane
Affiliation: Tokyo Polytechnic University, 1583 Iiyama, Atsugi, Kanagawa 243-0297, Japan

Keywords: Branner-Hubbard deformation, Lavaurs map
Received by editor(s): July 10, 2008
Published electronically: 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.
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.