Institute for Mathematical Sciences

Preprint ims97-15

J. Kiwi
Rational Rays and Critical Portraits of Complex Polynomials

Abstract: 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.
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