Critical Points and Expanding Maps

Lennart Carleson,Theodore W Gamelin

doi:10.1007/978-1-4612-4364-9_5

Critical Points and Expanding Maps

Lennart Carleson, Theodore W Gamelin

https://doi.org/10.1007/978-1-4612-4364-9_5

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Publication Date: Jan 1, 1993

Affiliation: KTH Royal Institute of Technology, University of California, Los Angeles

#Julia Set #Herman Ring + Show 6 more

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Abstract

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.

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