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.

50 pages, 15 PostScript figures

References in corpus (3)

• Dynamics in one complex variable: introductory lectures
• On removable sets for Sobolev spaces in the plane
• Problems in holomorphic dynamics

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