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 …

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 matter, which ranges from molecular motors to groups of animals, exists at different
length scales and timescales, and various computational models have been proposed to …

A celebrated and controversial hypothesis suggests that some biological systems—parts,
aspects, or groups of them—may extract important functional benefits from operating at the …

The remarkable processes that characterize living organisms, such as motility, self-healing
and reproduction, are fuelled by a continuous injection of energy at the microscale. The field …

My major motivation to think about swarm robotics is the question of how probabilistic local
actions of small robots sum up to rational global patterns shown by the swarm. For the …

A state of an open quantum system is described by a density matrix, whose dynamics is
governed by a Liouvillian superoperator. Within a general framework, we explore …

A wide range of experimental systems including gliding, swarming and swimming bacteria,
in vitro motility assays, and shaken granular media are commonly described as self …

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 …