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A geometrical interpretation of the unusual dynamics of fractals

✍ Scribed by T. Keyes; T. Ohtsuki

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 488 KB
Volume: 133
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(85)90147-5

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## Abstract We study geometric rigidity of a class of fractals, which is slightly larger than the collection of self‐conformal sets. Namely, using a new method, we shall prove that a set of this class is contained in a smooth submanifold or is totally spread out. (© 2006 WILEY‐VCH Verlag GmbH & Co.