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

Persistence is an important characteristic of many complex systems in nature, related to how
long the system remains at a certain state before changing to a different one. The study of …

Long-memory, or more generally fractal, processes are known to play an important role in
many scientific disciplines and applied fields such as physics, geophysics, hydrology …

We develop a method for the multifractal characterization of nonstationary time series, which
is based on a generalization of the detrended fluctuation analysis (DFA). We relate our …

We examine the detrended fluctuation analysis (DFA), which is a well-established method
for the detection of long-range correlations in time series. We show that deviations from …

Detrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-
range power-law correlation exponents in noisy signals. Many noisy signals in real systems …

Detrended fluctuation analysis (DFA) is a scaling analysis method used to quantify long-
range power-law correlations in signals. Many physical and biological signals are “noisy,” …

When we contemplate phenomena as diverse as electrochemical deposition or the spatial
patterns of urban development, it is natural to assume that they havenothing incommon …

Intended for graduate students and researchers in physics, chemistry, biology, and applied
mathematics, this book provides an up-to-date introduction to current research in fluctuations …

Fractal behavior and long-range dependence have been observed in an astonishing
number of physical, biological, geological, and socioeconomic systems. Time series …