English

Rational rays and critical portraits of complex polynomials

Dynamical Systems 2007-05-23 v1

Abstract

The aim of this work is to describe the equivalence relations in \Q/Z\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.

Keywords

Cite

@article{arxiv.math/9710212,
  title  = {Rational rays and critical portraits of complex polynomials},
  author = {Jan Kiwi},
  journal= {arXiv preprint arXiv:math/9710212},
  year   = {2007}
}

Comments

50 pages, 15 PostScript figures

R2 v1 2026-07-22T17:57:06.250Z