A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

This review summarizes theoretical progress in the field of active matter, placing it in the
context of recent experiments. This approach offers a unified framework for the mechanical …

Swarm intelligence refers to a kind of problem-solving ability that emerges in the interactions
of simple information-processing units. The concept of a swarm suggests multiplicity …

In this paper, we discuss consensus problems for networks of dynamic agents with fixed and
switching topologies. We analyze three cases: 1) directed networks with fixed topology; 2) …

In a recent Physical Review Letters article, Vicsek et al. propose a simple but compelling
discrete-time model of n autonomous agents (ie, points or particles) all moving in the plane …

In this paper, we present a theoretical framework for design and analysis of distributed
flocking algorithms. Two cases of flocking in free-space and presence of multiple obstacles …

Statistical physics has proven to be a fruitful framework to describe phenomena outside the
realm of traditional physics. Recent years have witnessed an attempt by physicists to study …

In active matter systems, individual constituents convert energy into non-conservative forces
or motion at the microscale, leading to morphological features and transport properties that …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …

Active particles contain internal degrees of freedom with the ability to take in and dissipate
energy and, in the process, execute systematic movement. Examples include all living …