On the hausdorff dimension of Julia sets of some real polynomials

Genadi Levin; Michel Zinsmeister

doi:10.1090/S0002-9939-2013-11660-6

On the hausdorff dimension of Julia sets of some real polynomials

Genadi Levin
, Michel Zinsmeister

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	3565-3572
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2013-11660-6
State	Published - 2013

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abstract = "We show that the supremum for c real of the Hausdorff dimension of the Julia set of the polynomial z → zd + c (d is an even natural number) is greater than 2d/(d + 1).",

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On the hausdorff dimension of Julia sets of some real polynomials

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