International audienceIn this paper we determine the multifractal nature of almost every function (in the prevalence setting) in a given Sobolev or Besov space according to different regularity exponents. These regularity criteria are based on local $L^p$ regularity or on wavelet coefficients and give a precise information on pointwise behavior
AbstractWe prove several related results concerning the genericity (in the sense of Baire's categori...
AbstractWe give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
International audienceIn this paper we determine the multifractal nature of almost every function (i...
AbstractIn this paper we determine the multifractal nature of almost every function (in the prevalen...
AbstractIn this paper we determine the multifractal nature of almost every function (in the prevalen...
International audienceOur goal is to study the multifractal properties of functions of a given famil...
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: ...
Although it has been shown that, from the prevalence point of view, the elements of the S^ \nu space...
Although it has been shown that, from the prevalence point of view, the elements of the S^ \nu space...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
As surprising as it may seem, there exist functions of C∞(R) which are nowhere analytic. When such a...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
We study irregularity properties of generic Peano functions: we apply these results to the determina...
AbstractWe study irregularity properties of generic Peano functions; we apply these results to the d...
AbstractWe prove several related results concerning the genericity (in the sense of Baire's categori...
AbstractWe give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
International audienceIn this paper we determine the multifractal nature of almost every function (i...
AbstractIn this paper we determine the multifractal nature of almost every function (in the prevalen...
AbstractIn this paper we determine the multifractal nature of almost every function (in the prevalen...
International audienceOur goal is to study the multifractal properties of functions of a given famil...
We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: ...
Although it has been shown that, from the prevalence point of view, the elements of the S^ \nu space...
Although it has been shown that, from the prevalence point of view, the elements of the S^ \nu space...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
As surprising as it may seem, there exist functions of C∞(R) which are nowhere analytic. When such a...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
We study irregularity properties of generic Peano functions: we apply these results to the determina...
AbstractWe study irregularity properties of generic Peano functions; we apply these results to the d...
AbstractWe prove several related results concerning the genericity (in the sense of Baire's categori...
AbstractWe give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
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