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arXiv:math/9710212 [math.DS]AbstractReferencesReviewsResources

Rational rays and critical portraits of complex polynomials

Jan Kiwi

Published 1997-10-15Version 1

The aim of this work is to describe the equivalence relations in $\Q/\Z$ that arise as the rational lamination of polynomials with all cycles repelling. We also describe where in parameter space one can find a polynomial with all cycles repelling and a given rational lamination. At the same time we derive some consequences that this study has regarding the topology of Julia sets.

Comments: 50 pages, 15 PostScript figures
Categories: math.DS
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