Critical Points and Expanding Maps
Critical points and their forward orbits play a key role in complex dynamical systems. The forward orbit of the critical points is dense in the boundary of any Siegel disk and Herman ring. If the critical points and their iterates stay away from the Julia set, the mapping is expanding on the Julia set, and the Julia set becomes more tractable.
KeywordsKleinian Group Exceptional Point Invariant Component Siegel Disk Rotation Domain
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