On the Hausdorff dimension of Julia sets of some real polynomials-Reference-Cited by-同舟云学术

On the Hausdorff dimension of Julia sets of some real polynomials

Published:2013-07-01 Issue:10 Volume:141 Page:3565-3572
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Levin Genadi,Zinsmeister Michel

Abstract

We show that the supremum for c c real of the Hausdorff dimension of the Julia set of the polynomial z ↦ z d + c z\mapsto z^d+c ( d d is an even natural number) is greater than 2 d / ( d + 1 ) 2d/(d+1) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-10/S0002-9939-2013-11660-6/S0002-9939-2013-11660-6.pdf

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