"In this paper, we study in detail the multifractal features of the main matrices of an encryption system based on a rule-90 cellular automaton. For this purpose we consider the scaling method known as the wavelet transform multifractal detrended fluctuation analysis (WT-MFDFA). In addition, we analyze the multifractal structure of the matrices of different dimensions, and find that there are minimal differences in all the examined multifractal quantities such as the multifractal support, the most frequent singularity exponent, and the generalized Hurst exponent.
This article is dedicated to eliminate financial time series multifractal research method which is b...
Several attempts have been made recently to generalize the multifractal formalism, originally introd...
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their loc...
In 2005, Nagler and Claussen (Phys. Rev. E, 71 (2005) 067103) investigated the time series of the el...
"In 2005, Nagler and Claussen (Phys. Rev. E 71, 067103 (2005)) investigated the time series of the e...
"We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifrac-tal time ser...
The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation a...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
"In this paper, we implement a revised pseudo random bit generator based on a rule-90 cellular autom...
In this chapter, the main principles of the theory of fractals and multifractals are stated. A singu...
The properties of several multifractal formalisms based on wavelet coefficients are compared from bo...
International audienceIn this course, we give the basics of the part of multifractal theory that int...
We focus on the importance of q moments range used within the multifractal detrended fluctuation ana...
Multifractal Detrended Fluctuation Analysis stands out as one of the most reliable methods for unvei...
Multifractal analysis has become a standard signal processing tool, for which a promising new formul...
This article is dedicated to eliminate financial time series multifractal research method which is b...
Several attempts have been made recently to generalize the multifractal formalism, originally introd...
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their loc...
In 2005, Nagler and Claussen (Phys. Rev. E, 71 (2005) 067103) investigated the time series of the el...
"In 2005, Nagler and Claussen (Phys. Rev. E 71, 067103 (2005)) investigated the time series of the e...
"We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifrac-tal time ser...
The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation a...
We show how wavelet techniques allow to derive irregularity properties of functions on two particula...
"In this paper, we implement a revised pseudo random bit generator based on a rule-90 cellular autom...
In this chapter, the main principles of the theory of fractals and multifractals are stated. A singu...
The properties of several multifractal formalisms based on wavelet coefficients are compared from bo...
International audienceIn this course, we give the basics of the part of multifractal theory that int...
We focus on the importance of q moments range used within the multifractal detrended fluctuation ana...
Multifractal Detrended Fluctuation Analysis stands out as one of the most reliable methods for unvei...
Multifractal analysis has become a standard signal processing tool, for which a promising new formul...
This article is dedicated to eliminate financial time series multifractal research method which is b...
Several attempts have been made recently to generalize the multifractal formalism, originally introd...
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their loc...