A proof of simultaneous linearization with a polylog estimate

Details A proof of simultaneous linearization with a polylog estimate A proof of simultaneous linearization with a polylog estimate

2006-09-06

arxiv.org/abs/math/0609165v2

Mathematics

Dynamical Systems

10 pages,1 fugure

Scientific paper

We give an alternative proof of simultaneous linearization recently shown by
T.Ueda, which connects the Schr\"oder equation and the Abel equation
analytically. Indeed, 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.

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