We study –both in theory and practice– the use of momentum motions in classic iterative hard thresholding (IHT) methods. By simply modifying plain IHT, we investigate its convergence behavior on convex optimization criteria with non-convex constraints, under standard assumptions. In diverse scenaria, we observe that acceleration in IHT leads to significant improvements, compared to state of the...

We show that problems at the uncolorability phase transition are well out of reach of intelligent algorithms. Since there are not small and easily checkable subgraphs which can be used to connrm uncolorabil-ity quickly, we cannot hope to build more intelligent algorithms to avoid hard problems at the phase transition. Also, our results suggest that a conjectured double phase transition in graph...

By using the Rosenfeld density functional, we determine the number density profiles of both components of binary hard-sphere fluids close to a planar hard wall as well as the corresponding excess coverage and surface tension. The comparison with published simulation data demonstrates that the Rosenfeld functional, both its original version and sophistications thereof, is superior to previous ap...

Diiraction is an old subject which has received much interest in recent years due to the advent of diiractive hard scattering. We discuss some theoretical models and experimental results that have shown new striking eeects, e.g. rapidity gaps in jet and W production and in deep inelastic scattering. Many aspects can be described through the exchange of a pomeron with a parton content, but the p...

1 Generalities In the following I will describe new data (see gures 1-16) about the following systems: 1. A1 resonances in the two-dimensional 2-disk scattering system, 2. B1 resonances in the two-dimensional 2-disk scattering system, 3. A1 resonances in the two-dimensional 3-disk scattering system, 4. the shape resonances in the two-dimensional 1-disk scattering system, 5. m = 0 and jmj = 1 re...

Poly-12-hydroxystearic acid (PHSA) is widely used as a coating on colloidal spheres to provide a "hard-sphere-type" interaction. These hard spheres have been widely used in fundamental studies of nucleation, crystallization, and glass formation. Most authors describe the interaction as "nearly" hard sphere. In this paper we directly measure this interaction, using layers of PHSA adsorbed onto m...