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An overview of complex fractal dimensions: from fractal strings to fractal drums, and back - MaRDI portal

An overview of complex fractal dimensions: from fractal strings to fractal drums, and back (Q5239184)

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scientific article; zbMATH DE number 7120066
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An overview of complex fractal dimensions: from fractal strings to fractal drums, and back
scientific article; zbMATH DE number 7120066

    Statements

    An overview of complex fractal dimensions: from fractal strings to fractal drums, and back (English)
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    22 October 2019
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    fractal strings and drums
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    relative fractal drums
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    complex dimensions
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    fractal zeta functions
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    distance and tube zeta functions
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    relative fractal zeta functions
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    fractal tube formulas
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    Minkowski dimension and content
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    Minkowski measurability criteria
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    fractality
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    unreality
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    Riemann zeta function
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    Riemann hypothesis
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    direct and inverse problems for fractal strings
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    quantized number theory
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    infinitesimal shift
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    spectral operator
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    regularized determinants
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    fractal cohomology
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