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arXiv:1201.5186 [math.DS]AbstractReferencesReviewsResources

On the Hausdorff dimension of Julia sets of some real polynomials

Genadi Levin, Michel Zinsmeister

Published 2012-01-25Version 1

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

Comments: 10 page, 4 figures
Categories: math.DS
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