Add to ORKGThe 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
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
The purpose of multifractal analysis is to compute the dimension of the sets where a function has a ...
International audienceMultifractal analysis has become a powerful signal processing tool that charac...
The aim of this paper is to provide several counter-examples to multifractal formalisms based on th...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
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...
The recent introduction of p-exponents and p-leaders extends the application of wavelet leader multi...
International audienceIn this course, we give the basics of the part of multifractal theory that int...
The properties of several multifractal formalisms based on wavelet coefficients are compared from bo...
International audienceMultifractal behavior has been identified and mathematically established for l...
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
The purpose of multifractal analysis is to compute the dimension of the sets where a function has a ...
International audienceMultifractal analysis has become a powerful signal processing tool that charac...
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
The purpose of multifractal analysis is to compute the dimension of the sets where a function has a ...
International audienceMultifractal analysis has become a powerful signal processing tool that charac...
The aim of this paper is to provide several counter-examples to multifractal formalisms based on th...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
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...
The recent introduction of p-exponents and p-leaders extends the application of wavelet leader multi...
International audienceIn this course, we give the basics of the part of multifractal theory that int...
The properties of several multifractal formalisms based on wavelet coefficients are compared from bo...
International audienceMultifractal behavior has been identified and mathematically established for l...
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
The purpose of multifractal analysis is to compute the dimension of the sets where a function has a ...
International audienceMultifractal analysis has become a powerful signal processing tool that charac...
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
International audienceThe recent introduction of p-exponents and p-leaders extends the application o...
The purpose of multifractal analysis is to compute the dimension of the sets where a function has a ...
International audienceMultifractal analysis has become a powerful signal processing tool that charac...