The boundary of the ℳ-set is of dimension 2

Benoit B. Mandelbrot
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Benoit B. Mandelbrot: Yale University, Mathematics Department

Chapter C8 in Fractals and Chaos, 2004, pp 110-113 from Springer

Abstract: Abstract It is conjectured that the boundary of the ℳ-set of the complex map has a Hausdorff-Besicovich fractal dimension equal to 2.

Keywords: Fractal Dimension; Fractal Model; Hausdorff Measure; Small Branch; Local Shape (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4757-4017-2_8

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