COMMUTING POLYNOMIALS AND POLYNOMIALS WITH SAME JULIA SET-Reference-Cited by-同舟云学术

COMMUTING POLYNOMIALS AND POLYNOMIALS WITH SAME JULIA SET

Published:1996-12 Issue:12a Volume:06 Page:2427-2432
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ATELA PAU¹,HU JUN²

Affiliation:

1. Department of Mathematics, Smith College, Northampton, MA 01063, USA & MSRI, USA

2. Department of Mathematics, CUNY, New York, NY 10036–8099, USA & MSRI, USA

Abstract

It has been known since Julia that polynomials commuting under composition have the same Julia set. More recently in the works of Baker and Eremenko, Fernández, and Beardon, results were given on the converse question: When do two polynomials have the same Julia set? We give a complete answer to this question and show the exact relation between the two problems of polynomials with the same Julia set and commuting pairs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127496001570

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