We determine the Hölder regularity of Riemann's function at each point; we deduce from this analysis its spectrum of singularities, thus showing its multifractal nature
Let $M_{\gamma}$ be a sub-critical Gaussian multiplicative chaos measure associated with a general l...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
The multifractal formalism for singular measures is revisited using the wavelet transform. For Berno...
peer reviewedSpaces called S-v were introduced by Jaffard [16] as spaces of functions characterized ...
The investigation of the multifractal spectrum of the equilibrium measure for\ud a parabolic rationa...
Natural images can be modelled as patchworks of homogeneous textures with rough contours. The follow...
Singular behavior of functions are generally characterized by their Holder exponent. However, we sho...
AbstractSelfsimilar functions can be written as the superposition of similar structures, at differen...
Abstract: In this paper we study the multifractal structure of Schramm’s SLE curves. We derive the v...
International audienceMultifractal behavior has been identified and mathematically established for l...
International audienceThe multifractal formalism is a formula which allows to derive the spectrum of...
peer reviewedComputing the spectrum of singularities of a real-life signal by using the definition i...
International audienceWe study the singularity (multifractal) spectrum of continuous functions monot...
37 pagesWe study the pointwise regularity properties of the Lévy fields introduced by T. Mori; these...
In this paper we study the multifractal structure of Schramm's SLE curves. We derive the values of t...
Let $M_{\gamma}$ be a sub-critical Gaussian multiplicative chaos measure associated with a general l...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
The multifractal formalism for singular measures is revisited using the wavelet transform. For Berno...
peer reviewedSpaces called S-v were introduced by Jaffard [16] as spaces of functions characterized ...
The investigation of the multifractal spectrum of the equilibrium measure for\ud a parabolic rationa...
Natural images can be modelled as patchworks of homogeneous textures with rough contours. The follow...
Singular behavior of functions are generally characterized by their Holder exponent. However, we sho...
AbstractSelfsimilar functions can be written as the superposition of similar structures, at differen...
Abstract: In this paper we study the multifractal structure of Schramm’s SLE curves. We derive the v...
International audienceMultifractal behavior has been identified and mathematically established for l...
International audienceThe multifractal formalism is a formula which allows to derive the spectrum of...
peer reviewedComputing the spectrum of singularities of a real-life signal by using the definition i...
International audienceWe study the singularity (multifractal) spectrum of continuous functions monot...
37 pagesWe study the pointwise regularity properties of the Lévy fields introduced by T. Mori; these...
In this paper we study the multifractal structure of Schramm's SLE curves. We derive the values of t...
Let $M_{\gamma}$ be a sub-critical Gaussian multiplicative chaos measure associated with a general l...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
The multifractal formalism for singular measures is revisited using the wavelet transform. For Berno...