It has been shown numerically that systems of particles interacting with isotropic “stealthy”
bounded long-ranged pair potentials (similar to Friedel oscillations) have classical ground …

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 …

Partitioning space into cells with certain extreme geometrical properties is a central problem
in many fields of science and technology. Here we investigate the Quantizer problem …

Disordered many-particle hyperuniform systems are exotic amorphous states of matter that
lie between crystals and liquids. Hyperuniform systems have attracted recent attention …

Disordered hyperuniform many-particle systems have attracted considerable recent
attention, since they behave like crystals in the manner in which they suppress large-scale …

Disordered hyperuniform many-body systems are distinguishable states of matter that lie
between a crystal and liquid: they are like perfect crystals in the way they suppress large …

Rapid cooling of liquids below a certain temperature range can result in a transition to
glassy states. The traditional understanding of glasses includes their thermodynamic …

Systems of particles interacting with “stealthy” pair potentials have been shown to possess
infinitely degenerate disordered hyperuniform classical ground states with novel physical …

We study translation invariant stochastic processes on R^ d R d or Z^ d Z d whose diffraction
spectrum or structure function S (k), ie the Fourier transform of the truncated total pair …

We address the challenge of estimating the hyperuniformity exponent $\alpha $ of a spatial
point process, given only one realization of it. Assuming that the structure factor $ S $ of the …