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Computing the Hausdorff Measure and Dimension of Fractals Generated by Möbius Transforms

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Visit this site: http://www.tc.cornell.edu/Edu/SPUR/SPUR95/Mark/cover.html

Author:Mark Krosky, Cornell University
Description: An illustrated paper by a Cornell Univ. graduate student. Abstract: Möbius transforms are an important class of conformal maps. By studying fractals they generate, we can gain more information about groups of Möbius transforms. A discussion of how Möbius transforms generate a fractal, and how Krosky computed its Hausdorff dimension and measure.

Levels: College, Research
Languages: English
Resource Types: Articles
Math Topics: Fractals

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