96 citations · 110 across the 8 of their papers we have counts for
9 papers
Monofractal nature of air temperature signals reveals their climate variability
Adrien Deliège, Samuel Nicolay
We use the discrete "wavelet transform microscope" to show that the surface air temperature signals of weather stations selected in Europe are monofractal. This study reveals that…
Building Cantor's Bijection
Samuel Nicolay, Laurent Simons
Cantor's first idea to build a one-to-one mapping from the unit interval to the unit square did not work since, as pointed out by Dedekind, the so-obtained function is not surjecti…
About the multifractal nature of Cantor's bijection
Samuel Nicolay, Laurent Simons
In this note, we investigate the regularity of Cantor's one-to-one mapping between the irrational numbers of the unit interval and the irrational numbers of the unit square. In par…
Generalized pointwise Hölder spaces
Damien Kreit, Samuel Nicolay
In this paper, we introduce a generalization of the pointwise Hölder spaces. We give alternative definitions of these spaces, look at their relationship with the wavelets and intro…
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…