Local complex dimensions of a fractal string (Q1934493)
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scientific article; zbMATH DE number 6132019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local complex dimensions of a fractal string |
scientific article; zbMATH DE number 6132019 |
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Local complex dimensions of a fractal string (English)
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28 January 2013
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Summary: We investigate a local version of the theory of fractal strings and associated geometric zeta functions. Such a generalisation allows to describe the asymptotic behaviour of a ``fractal'' set in the neighborhood of any of its points. We give basic properties and several examples illustrating the possible range of situations concerning in particular the evolution of the local complex dimensions along the set and the relation between local and global zeta functions.
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fractal strings
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complex dimensions
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Minkowski measurability
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Minkowski dimension
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local box dimension
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geometric zeta functions
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fractals
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0.9146056
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0.8906618
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0.89027846
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0.88463414
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0.88463414
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0.88082683
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0.8799348
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0.8785779
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