96 citations · 110 across the 8 of their papers we have counts for
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A wavelet characterization for the upper global Holder index
Marianne Clausel--Lesourd, Nicolay Samuel
In this paper, we give a wavelet characterization of the upper global Holder index, which can be seen as the irregular counterpart of the usual global Holder index, for which a wav…
A weak local irregularity property in S^νspaces
Marianne Clausel--Lesourd, Samuel Nicolay
Although it has been shown that, from the prevalence point of view, the elements of the S^ νspaces are almost surely multifractal, we show here that they also almost surely satisfy…
Wavelets techniques for pointwise anti-Holderian irregularity
Marianne Clausel--Lesourd, Samuel Nicolay
In this paper, we introduce a notion of weak pointwise Holder regularity, starting from the de nition of the pointwise anti-Holder irregularity. Using this concept, a weak spectrum…