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- W1636167493 abstract "Many examples of signals and images cannot be modeled by locally bounded functions, so that the standard multifractal analysis, based on the Hölder exponent, is not feasible. We present a multifractal analysis based on another quantity, the p-exponent, which can take arbitrarily large negative values. We investigate some mathematical properties of this exponent, and show how it allows us to model the idea of “lacunarity” of a singularity at a point. We finally adapt the wavelet based multifractal analysis in this setting, and we give applications to a simple mathematical model of multifractal processes: Lacunary wavelet series." @default.
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- W1636167493 date "2015-01-01" @default.
- W1636167493 modified "2023-10-01" @default.
- W1636167493 title "Multifractal Analysis Based on p-Exponents and Lacunarity Exponents" @default.
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- W1636167493 doi "https://doi.org/10.1007/978-3-319-18660-3_15" @default.
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