This volume collects ten surveys on the modeling simulation and applications of active
particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical
mechanics. The contributing authors are leading experts working in this challenging field and
each of their chapters provides a review of the most recent results in their areas and looks
ahead to future research directions. The approaches to studying active matter are presented
here from many different perspectives such as individual-based models evolutionary games
Brownian motion and continuum theories as well as various combinations of these. Applications
covered include biological network formation and network theory opinion formation and social
systems control theory of sparse systems theory and applications of mean field games
population learning dynamics of flocking systems vehicular traffic flow and stochastic
particles and mean field approximation. Mathematicians and other members of the scientific
community interested in active matter and its many applications will find this volume to be a
timely authoritative and valuable resource.
