Rational rays and critical portraits of complex polynomials

Details Rational rays and critical portraits of complex polynomials Rational rays and critical portraits of complex polynomials

1997-10-15

arxiv.org/abs/math/9710212v1

Mathematics

Dynamical Systems

50 pages, 15 PostScript figures

Scientific paper

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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