We present an implementation of a multifractal formalism based on the types of histogram of
wavelet leaders. This method yields non-concave spectra and is not limited to their …

We introduce a quantity that encapsulates the information given by the distribution at each
scale of the wavelet leaders of a function, and which is independent of the chosen wavelet …

As surprising as it may seem, there exist functions of C∞(R) which are nowhere analytic.
When such an unexpected object is found, a natural question is to ask whether many similar …

We explain the wavelet leaders method, a tool to study the pointwise regularity of signals,
which is closely related to some functional spaces. We use the associated multifractal …

It has been shown that, from the prevalence point of view, elements of the S^ ν S ν spaces
are almost surely multifractal, while the Hölder exponent at almost every point is almost …

Dans cet exposé, nous nous intéressons à la divergence ponctuelle de séries d'ondelettes
dans un espace de Besov donné. Nous obtenons une borne supérieure pour la dimension …

The leaders profile method: detection of distinct processes in a signal Page 1 The leaders
profile method: detection of distinct processes in a signal Thomas KLEYNTSSENS, Samuel …