This paper develops a new approach to the analysis of the underlying power structure when social preferences are allowed to be incomplete. We propose the concept of quasi-decisiveness, which is weaker than standard decisiveness, and investigate the family of quasi-decisive groups associated an Arrovian collective choice rule. A group is quasi-decisive if for every pair x, y of alternatives, y i...

The quasi-deuteron model introduced by Levinger is used to explain cross sections for knocking out high-momentum protons in photo-absorption on nuclei. This within a framework we characterize as exhibiting high renormalization group (RG) resolution. Assuming one-body reaction operator, the nuclear wave function must include two-body short-range correlations (SRCs) with deuteron-like quantum num...

The authors establish the fundamental lemma for a relative trace formula. This trace formula compares generic automorphic representations of GSp(4) with auto-morphic representations of GL(4) which are distinguished with respect to a character of the Shalika subgroup, the subgroup of matrices of 2 × 2 block form g 0 X g. The fundamental lemma, giving the equality of two orbital integrals, amount...

For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These allow us to optimize parameters randomization schemes. We also suggest and numerically justify a procedure constructing designs with better separability properties than pure illustrate theoretical considerati...