Identifying and quantifying spatial correlation are important aspects of studying the collective
behavior of multiagent systems. Pair correlation functions (PCFs) are powerful statistical …

Environments with immobile obstacles or void regions that inhibit and alter the motion of
individuals within that environment are ubiquitous. Correlation in the location of individuals …

We define a pair-correlation function that can be used to characterize spatiotemporal
patterning in experimental images and snapshots from discrete simulations. Unlike previous …

The pair correlation function (PCF) has proven an effective tool for analyzing many physical
systems due to its simplicity and its applicability for simulated and experimental data …

Social organisms at every level of evolutionary complexity live in groups, such as fish
schools, locust swarms, and bird flocks. The complex exchange of multifaceted information …

Up to now, there have been a great number of studies that demonstrate the effect of spatial
topology on the promotion of cooperation dynamics (namely, the so-called “spatial …

We study correlation measures for complex systems. First, we investigate some recently
proposed measures based on information geometry. We show that these measures can …

Background In recent years, there is aroused interest in expressing complex systems as
networks of interacting nodes. Using descriptors from graph theory, it has been possible to …

Collective behavior is an emergent property of numerous complex systems, from financial
markets to cancer cells to predator-prey ecological systems. Characterizing modes of …

Recently, it has become possible to more precisely analyze flocking behavior. Such
research has prompted a reconsideration of the notion of neighborhoods in the theoretical …