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Self-similar sets and measures on the line - MaRDI portal

Self-similar sets and measures on the line (Q6200698)

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scientific article; zbMATH DE number 7823079
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Self-similar sets and measures on the line
scientific article; zbMATH DE number 7823079

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    Self-similar sets and measures on the line (English)
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    24 March 2024
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    Summary: We discuss the problem of determining the dimension of self-similar sets and measures on \textbf{R}. We focus on the developments of the last four years. At the end of the paper, we survey recent results about other aspects of self-similar measures including their Fourier decay and absolute continuity. For the entire collection see [Zbl 07816359].
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    self-similar set
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    self-similar measure
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    Bernoulli convolution
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    fractal
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    dimension theory
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