The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series containing non-uniform structures with only ...

In a recent article, Chung and Takahashi (Erg. Th & Dynan. Sys. 34, 1116 (2014)) effected a multifractal description of the Birkhoff spectrum for a set of quadratic one dimensional functions known as the Benedicks-Carleson ...

Let (X, ν) and Y be a measured space and a CAT (0) space, respectively. If M2(Y ) is the set of measures on Y with finite second moment then a map bar : M2(Y ) → Y can be defined. Also, for any x ∈ X and for a map ϕ : X → ...

Multifractal analyses were performed to elucidate the effect of incorporating maleic anhydride grafted polypropylene (MAPP) into a Polypropylene matrix: (i) on the dispersion of CaCO3 particles and (ii) on the fracture ...