Hyperuniform states of matter are correlated systems that are characterized by an
anomalous suppression of long-wavelength (ie, large-length-scale) density fluctuations …

This article reviews recent inverse statistical-mechanical methodologies that we have
devised to optimize interaction potentials in soft matter systems that correspond to stable …

The leaf vein network is a hierarchical vascular system that transports water and nutrients to
the leaf cells. The thick primary veins form a branched network, while the secondary veins …

We have made the largest volume measurement to date of the transition to large-scale
homogeneity in the distribution of galaxies. We use the WiggleZ survey, a spectroscopic …

The properties of the absorbing states of nonequilibrium models belonging to the conserved
directed percolation universality class are studied. We find that, at the critical point, the …

We show that materials made of scatterers distributed on a stealth hyperuniform point
pattern can be transparent at densities for which an uncorrelated disordered material would …

Disordered many-particle hyperuniform systems are exotic amorphous states of matter that
lie between crystal and liquid: They are like perfect crystals in the way they suppress large …

We computationally study jammed disordered hard-sphere packings as large as a million
particles. We show that the packings are saturated and hyperuniform, ie, that local density …

Disordered hyperuniform structures are an exotic state of matter having vanishing long-
wavelength density fluctuations similar to perfect crystals but without long-range order …

We examine the correlation function ξ of the Sloan Digital Sky Survey Luminous Red Galaxy
sample at large scales (60 h− 1 Mpc< s< 400 h− 1 Mpc) using the final data release (DR7) …