[en] The aim of this paper is to provide several counter-examples to multifractal
formalisms based on the Legendre spectrum and on the large deviation spectrum.
In particular these counter-examples show that an assumption of homogeneity
and/or of randomness on the signal is not sufficient to guarantee the validity
of the formalisms. Finally, we provide examples of function spaces in which the
formalism is generically non valid.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline ; Université de Liège - ULiège > Département de mathématique > Analyse mathématique et ses interactions avec la théorie des probabilités
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