Geodesic
A Proof of Simultaneous Linearization with a Polylog Estimate
Tomoki Kawahira1
1 Graduate School of Mathematics Nagoya University Nagoya, 464-8602 Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 43-52.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give an alternative proof of simultaneous linearization recently shown by T. Ueda, which connects the Schröder equation and the Abel equation analytically. In fact, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.
DOI : 10.4064/ba55-1-5
Keywords: alternative proof simultaneous linearization recently shown ueda which connects schr der equation abel equation analytically generalize uedas original result may apply parabolic fixed points multiple petals application continuity result linearizing coordinates complex dynamics

Tomoki Kawahira 1

1 Graduate School of Mathematics Nagoya University Nagoya, 464-8602 Japan 
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Tomoki Kawahira. A Proof of Simultaneous Linearization with a Polylog Estimate. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 43-52. doi : 10.4064/ba55-1-5. http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-5/

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