Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat

Details Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat

2003-05-19

arxiv.org/abs/math/0305272v1

Mathematics

Dynamical Systems

3 pages

Scientific paper

Recently, Xavier Buff and Arnaud Cheritat have provided an elegant proof of
the existence of quadratic Siegel disks with smooth boundary. In this short
note, we show how results of Yoccoz and Risler can be used to conclude the same
result. Our proof is a small modification of the argument given by Buff and
Cheritat.

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