Irreducible Julia sets of rational functions

Details Irreducible Julia sets of rational functions Irreducible Julia sets of rational functions

2010-06-30

arxiv.org/abs/1006.5771v1

Journal of Difference Equations and Applications, Volume 16, Issue 5 & 6 May 2010, pages 443 - 450

Mathematics

Dynamical Systems

8 pages, 2 figures

Scientific paper

We prove that a polynomial Julia set which is a finitely irreducible
continuum is either an arc or an indecomposable continuum. For the more general
case of rational functions, we give a topological model for the dynamics when
the Julia set is an irreducible continuum and all indecomposable subcontinua
have empty interior.

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