A Proof of Simultaneous Linearization with a Polylog Estimate

Tomoki Kawahira. "A Proof of Simultaneous Linearization with a Polylog Estimate." Bulletin of the Polish Academy of Sciences. Mathematics 55.1 (2007): 43-52. <http://eudml.org/doc/280957>.

@article{TomokiKawahira2007,
abstract = {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.},
author = {Tomoki Kawahira},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {simultaneous linearization; polylogarithm; parabolic fixed point},
language = {eng},
number = {1},
pages = {43-52},
title = {A Proof of Simultaneous Linearization with a Polylog Estimate},
url = {http://eudml.org/doc/280957},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Tomoki Kawahira
TI - A Proof of Simultaneous Linearization with a Polylog Estimate
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 1
SP - 43
EP - 52
AB - 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.
LA - eng
KW - simultaneous linearization; polylogarithm; parabolic fixed point
UR - http://eudml.org/doc/280957
ER -