Rational rays and critical portraits of complex polynomials
Abstract
Description
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.
50 pages, 15 PostScript figures
50 pages, 15 PostScript figures