We review approaches aimed at deciphering the physical mechanisms responsible for viral
structure and assembly. We discuss the basic principles of condensed matter physics …

We review the state of the art concerning drops and shells of liquid crystal. We especially
focus on the defect structures observed with liquid crystals with different degrees of order …

On-board estimation of the pose of an uncooperative target spacecraft is an essential task
for future on-orbit servicing and close-proximity formation flying missions. However, two …

We describe experimental investigations of the structure of two-dimensional spherical
crystals. The crystals, formed by beads self-assembled on water droplets in oil, serve as …

Abstract We develop Random Batch Methods for interacting particle systems with large
number of particles. These methods use small but random batches for particle interactions …

Many systems in nature and the synthetic world involve ordered arrangements of units on
two-dimensional surfaces. We review here the fundamental role payed by both the topology …

There are a variety of needs for the dis-cretization of a manifold—statistical sampling,
quadrature rules, starting points for Newton's method, computeraided design, interpolation …

Collective cell migration is an essential process throughout the lives of multicellular
organisms, for example in embryonic development, wound healing and tumour metastasis …

This perspective will overview an emerging paradigm for self-organized soft materials,
geometrically frustrated assemblies, where interactions between self-assembling elements …

We investigate the energy of arrangements of N points on a rectifiable d-dimensional
manifold [Formula: see text] that interact through the power law (Riesz) potential V= 1/rs …