Multifractals and the dimension of exceptions (Q1852453)
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scientific article; zbMATH DE number 1848911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multifractals and the dimension of exceptions |
scientific article; zbMATH DE number 1848911 |
Statements
Multifractals and the dimension of exceptions (English)
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5 January 2003
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The author considers a one parameter family of self-similar sets with overlap and studies the exceptional set: the set of those parameters for which the correlation dimension is smaller than the similarity dimension. By this way, the author gets a connection between the exceptional set and the multifractal analysis of a measure.
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multifractal analysis
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exceptional set
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self-similar sets
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correlation dimension
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similarity dimension
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0.91524184
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0.9102791
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0.9007578
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0.8992726
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0.89926934
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0.8988684
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