Herman's condition and Siegel disks of polynomials

Details Herman's condition and Siegel disks of polynomials Herman's condition and Siegel disks of polynomials

2011-11-20

arxiv.org/abs/1111.4629v1

Mathematics

Dynamical Systems

17 pages

Scientific paper

Herman proved the presence of critical points on the boundary of Siegel disks
of unicritical polynomials under some diophantine condition now called the
Herman condition. We extend this result to polynomials with two critical
points.

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