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- W2143175736 abstract "Multifractal analysis describes data as a collection of singularities. However, its classical formulation does not account for their possibly oscillating nature, while, in a number of applications, distinguishing between oscillating and non oscillating singularities may significantly enrich the analysis. This is notably the case in hydrodynamic turbulence, of interest here, where two different important heuristic models contradictorily lead to predict the existence or absence of oscillating singularities. This contribution proposes a wavelet Leader oscillation formalism enabling to evidence the presence of oscillating singularities in real data. It is first validated on synthetic data both with and without oscillating singularities and second applied to high quality 1D velocity turbulence data. This constitutes the first quantitative evidence against the presence of oscillating singularities in turbulence data." @default.
- W2143175736 created "2016-06-24" @default.
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- W2143175736 date "2011-05-01" @default.
- W2143175736 modified "2023-09-30" @default.
- W2143175736 title "Detecting oscillating singularities in multifractal analysis: Application to hydrodynamic turbulence" @default.
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- W2143175736 doi "https://doi.org/10.1109/icassp.2011.5947311" @default.
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