Rational rays and critical portraits of complex polynomials

1997/10/15 by Jan Kiwi, Kiwi, Jan · 6 citations
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications #Meromorphic and Entire Functions #math.DS

paper · pdf · doi:10.48550/arxiv.math/9710212

50 pages, 15 PostScript figures

arxiv created 1997/10/15 · openalex publication_date 1997/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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