On the Hausdorff dimension of Julia sets of some real polynomials
classification
🧮 math.DS
keywords
dimensionhausdorffjuliarealevengreatermapstonatural
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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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