Multifractal methodology Article Swipe
Related Concepts
Multifractal system
Statistical physics
Mathematics
Dimension (graph theory)
Moment (physics)
Wavelet
Computer science
Artificial intelligence
Fractal
Mathematical analysis
Physics
Pure mathematics
Classical mechanics
Hadrien Salat
,
Roberto Murcio
,
Elsa Arcaute
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1016/j.physa.2017.01.041
· OA: W3037508934
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1016/j.physa.2017.01.041
· OA: W3037508934
Various methods have been developed independently to study the\nmultifractality of measures in many different contexts. Although they all\nconvey the same intuitive idea of giving a "dimension" to sets where a quantity\nscales similarly within a space, they are not necessarily equivalent on a more\nrigorous level. This review article aims at unifying the multifractal\nmethodology by presenting the multifractal theoretical framework and principal\npractical methods, namely the moment method, the histogram method, multifractal\ndetrended fluctuation analysis (MDFA) and modulus maxima wavelet transform\n(MMWT), with a comparative and interpretative eye.\n
Related Topics
Finding more related topics…