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The boundary of the ℳ-set is of dimension 2

  • Benoit B. Mandelbrot
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Benoit B. Mandelbrot 2004

Authors and Affiliations

  • Benoit B. Mandelbrot
    • 1
    • 2
  1. 1.Mathematics DepartmentYale UniversityNew HavenUSA
  2. 2.IBM T.J. Watson Research CenterYorktown HeightsUSA

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