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Published in:
1986 | OriginalPaper | Chapter
Hausdorff Dimensions for Sets with Broken Scaling Symmetry
Authors : D. K. Umberger, G. Mayer-Kress, E. Jen
Published in: Dimensions and Entropies in Chaotic Systems
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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Based on Hausdorff’s original approach to fractional dimensions, we study systems which are not sufficiently characterized by their “fractal” or scaling dimension. We construct informative examples of such sets and relate them to sets observed in the context of dynamical systems.