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A Bridge Between Geometric Measure Theory and Signal Processing: Multifractal Analysis
We describe the main features of wavelet techniques in multifractal analysis, using wavelet bases both as a tool for analysis, and for synthesis. We...
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p-Leader Based Classification of First Stage Intrapartum Fetal HRV
Interpretation and analysis of intrapartum fetal heart rate, enabling early detection of fetal acidosis, remains a challenging signal processing...
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Comprehensive multifractal analysis of turbulent velocity using the wavelet leaders
The multifractal framework relates the scaling properties of turbulence to its local regularity properties through a statistical description as a...
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Wavelet expansions, function spaces and multifractal analysis
The purpose of this tutorial is to describe the interplay between three subjects: function spaces, wavelet expansions, and multifractal analysis....
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Singularity spectrum of multifractal functions involving oscillating singularities
We give general mathematical results concerning oscillating singularities and we study examples of functions composed only of oscillating...
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Oscillating singularities on cantor sets: A grand-canonical multifractal formalism
The singular behavior of functions is generally characterized by their Hölder exponent. However, we show that this exponent poorly characterizes...
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Some open problems about multifractal functions
We review some results concerning multifractal functions and emphasize the limitations of these results and the open problems that are related.
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Identification of Elliptic Gaussian Random Processes
We consider the identification of the relevant parameters of the symbol of the pseudo-differential operator defining an Elliptic Gaussian Random...
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Morphology of the mixing layer in the Rayleigh-Taylor instability
The passive convection of Lagrangian points by a 2D compressible two-fluids flow is investigated numerically on a massively parallel computer. This...
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Construction of Wavelets on Open Sets
We shall describe a way to construct wavelets on an open set Ω of R n (this construction is a joint work with...
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Construction of Wavelets on Open Sets
We shall describe a way to construct wavelets on an open set Ω of Rn (this construction is a joint work with Y.MEYER and can be found in (1);the...
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