Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

We propose an algorithm, multifractal cross-correlation analysis (MFCCA), which constitutes
a consistent extension of the detrended cross-correlation analysis and is able to properly …

Human heart rate variability, in the form of time series of intervals between heart beats,
shows complex, fractal properties. Recently, it was demonstrated many times that the fractal …

Real networks are complex dynamical systems, evolving over time with the addition and
deletion of nodes and links. Currently, there exists no principled mathematical theory for …

In this review, we discuss linear and nonlinear long-term correlations in precipitation and
river flows and their influence on risk estimation. We outline the standard method for …

We address two common major problems in the study of time series characterizing
fluctuations in complex systems: multifractal analysis and multifractal modeling. Specifically …

Detrended fluctuation analysis (DFA) is a popular tool in physiological and medical studies
for estimating the self-similarity coefficient, α, of time series. Recent researches extended its …

Detection and attribution of anthropogenic climate change signals in sea level rise (SLR)
has experienced considerable attention during the last decades. Here we provide evidence …

Despite its solid foundations, multifractal analysis is still a challenging task. The
'inversed'singularity spectrum is a major pitfall in standard multifractal analyses especially …

While there is scientific consensus that global and local mean sea level (GMSL and LMSL)
has risen since the late nineteenth century, the relative contribution of natural and …