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

Nakane, Shizuo

doi:10.1090/S1088-4173-09-00192-1

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

Conform. Geom. Dyn. 13 (2009), 110-123

DOI: https://doi.org/10.1090/S1088-4173-09-00192-1

Published electronically: 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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