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Self-Conformal Multifractal Measures

✍ Scribed by Norbert Patzschke

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
306 KB
Volume
19
Category
Article
ISSN
0196-8858

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✦ Synopsis

A self-conformal measure is a measure invariant under a set of conformal mappings. In this paper we describe the local structure of self-conformal measures. For such a measure we divide its support into sets of fixed local dimension and give a formula for the Hausdorff and packing dimensions of these sets. Moreover, we compute the generalized dimensions of the self-conformal measure.

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