On the equivalence of self-conformal measure to Lebesgue measure (Q2744549)
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scientific article; zbMATH DE number 1649194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the equivalence of self-conformal measure to Lebesgue measure |
scientific article; zbMATH DE number 1649194 |
Statements
18 June 2002
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self-conformal measure
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Lebesgue measure
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open set condition
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On the equivalence of self-conformal measure to Lebesgue measure (English)
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Let \(\mu\) be the conformal measure corresponding to a conformal iterated function with the Hölder condition and open set condition. The author proves that \(\mu\) is either singular or absolutely continuous with respect to Lebesgue measure.
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