Real systems showing regime shifts, such as ecosystems, are often composed of many
dynamical elements interacting on a network. Various early warning signals have been …

Many empirical networks originate from correlational data, arising in domains as diverse as
psychology, neuroscience, genomics, microbiology, finance, and climate science …

Diverse complex systems often undergo sudden changes in their states, such as epileptic
seizures, climate changes, and social uprisings. Such behavior has been modeled by noise …

The behavior of a dynamical system can exhibit abrupt changes when it crosses a tipping
point. To prevent catastrophic events, it is useful to analyze indicators of the incoming …

A fundamental premise of statistical physics is that the particles in a physical system are
interchangeable, and hence the state of each specific component is representative of the …

Figure 1: Early warning signals are intended to anticipate a sudden change in a complex
system, such as the sudden decrease in vegetation cover in this example, before it …