Science is not merely the smooth progressive interaction of hypothesis, experiment and
theory, although it sometimes has that form. More realistically the scientific study of any …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Anomalous diffusion has been widely observed by single particle tracking microscopy in
complex systems such as biological cells. The resulting time series are usually evaluated in …

We discuss a renewal process in which successive events are separated by scale-free
waiting time periods. Among other ubiquitous long-time properties, this process exhibits …

A standard approach to study time-dependent stochastic processes is the power spectral
density (PSD), an ensemble-averaged property defined as the Fourier transform of the …

Complex Webs synthesises modern mathematical developments with a broad range of
complex network applications of interest to the engineer and system scientist, presenting the …

We study the transport of information between two complex systems with similar properties.
Both systems generate non-Poisson renewal fluctuations with a power-law spectrum 1/f 3-μ …

We study a fully connected network (cluster) of interacting two-state units as a model of
cooperative decision making. Each unit in isolation generates a Poisson process with rate g …

Behavioral studies have shown that human cognition is characterized by properties such as
temporal scale invariance, heavy-tailed non-Gaussian distributions, and long-range …

The causes of global warming—the increase of approximately 0.8±0.1 C in the average
global temperature near Earth's surface since 1900—are not as apparent as some recent …