The Hausdorff Dimension is Convex on the Left Side of 1/4
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DOI: 10.1017/s0013091516000481
Abstract: Abstract Let d(c) denote the Hausdorff dimension of the Julia set Jc of the polynomial fc (z) = z 2 +c. The function c ↦ d(c) is real-analytic on the interval (–3/4, 1/4), which is… read more here.
Keywords: hausdorff dimension; dimension convex; convex left; left side ... See more keywords