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Results tagged with fractals
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user 24435
Fractals deal with special sets that exhibit complicated patterns in every scale. Fractal sets usually have a Hausdorff dimension different from its topological dimension. Examples include Julia sets, the Sierpinski triangle, the Cantor set. Fractals naturally appear in dynamical system, such as iterations in the complex plane, or as strange attractors to continuous dynamical systems, (see Lorentz attractor).
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What are the fractal parameters?
So it seems natural to introduce curvature for "fractals" in an attempt to get a finer geometric description. … This has been done for mostly self-similar fractals by Winter, Zähle, Rataj, Kombrink, and me (Bohl, formerly Rothe). The full generalization to self-conformal sets is my upcoming PhD thesis. …
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