Self-similar sets of Hausdorff measure zero and positive packing measure

A contractive similarity is a function which preserves the geometry of a object but shrinks it down by some factor. If we have a finite collection of similarities, then there exists a unique compact set K which is the same set as the union of the the images of K under each similarity. This kind of K...

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Bibliographic Details
Main Author: Pöyhtäri, T. (Tuomas)
Format: Dissertation
Language:English
Published: University of Oulu 2013
Subjects:
Online Access:http://urn.fi/URN:NBN:fi:oulu-201303061082
http://nbn-resolving.de/urn:nbn:fi:oulu-201303061082