Completely invariant Julia sets of polynomial semigroups-Reference-Cited by-同舟云学术

Completely invariant Julia sets of polynomial semigroups

Published:1999-04-23 Issue:10 Volume:127 Page:2889-2898
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Stankewitz Rich

Abstract

Let G G be a semigroup of rational functions of degree at least two, under composition of functions. Suppose that G G contains two polynomials with non-equal Julia sets. We prove that the smallest closed subset of the Riemann sphere which contains at least three points and is completely invariant under each element of G G , is the sphere itself.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-10/S0002-9939-99-04857-1/S0002-9939-99-04857-1.pdf

Reference2 articles.

1. Graduate Texts in Mathematics;Beardon, Alan F.,1991

2. The dynamics of semigroups of rational functions. I;Hinkkanen, A.;Proc. London Math. Soc. (3),1996

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