A bridge between geometric measure theory and signal processing: Multifractal analysis
نویسندگان
چکیده
We describe the main features of wavelet techniques in multifractal analysis, using wavelet bases both as a tool for analysis, and for synthesis. We focus on two promising developments: On the analysis side, we introduce the quantile leader method, which allows to put into light nonconcave multifractal spectra; on the synthesis side, we study some extensions of random wavelet series which allow to test multifractal techniques fitted to functions that are not locally bounded but only belong to an Lq space (determination of the q-spectrum).
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