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Results tagged with hausdorff-dimension
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user 3651
Questions about dimensions of possibly highly irregular or "rough" sets, Hausdorff–Besicovitch dimension and related concepts such as box-counting or Minkowski–Bouligand dimension.
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Hausdorff dimension of Julia sets of quadratics not in the Mandelbrot set.
The Hausdorff dimension of Julia sets of quadratic polynomials has been well-studied, although some questions still remain.
You specifically asked about parameters $c$ that do not belong to the Mand …
- 6,548
3
votes
Hausdorff dimension of Julia set
Here is a fairly elementary argument, which works in great generality (in particular for rational and transcendental entire functions, and indeed suitably modified for meromorphic functions and classe …
- 6,548