On the Hausdorff dimension of Julia sets of some real polynomials

Details On the Hausdorff dimension of Julia sets of some real polynomials On the Hausdorff dimension of Julia sets of some real polynomials

2012-01-25

arxiv.org/abs/1201.5186v1

Mathematics

Dynamical Systems

10 page, 4 figures

Scientific paper

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 $2d/(d+1)$.

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