Recent results using all-point quark propagators

Pseudofermion methods for extracting all-point quark propagators are reviewed, with special emphasis on techniques for reducing or eliminating autocorrelations induced by low eigenmodes of the quark Dirac operator. Recent applications, including high statistics evaluations of hadronic current correlators and the pion form factor, are also described.Comment: LateX, 3 pages, 6 eps figures, Lattice2002(algor), corrected some typo

Unquenched Studies Using the Truncated Determinant Algorithm

A truncated determinant algorithm is used to study the physical effects of the quark eigenmodes associated with eigenvalues below 420 MeV. This initial high statistics study focuses on coarse ($6^4$) lattices (with O($a^2$) improved gauge action), light internal quark masses and large physical volumes. Three features of full QCD are examined: topological charge distributions, string breaking as observed in the static energy and the eta prime mass.Comment: Lattice2001(confinement); 3pgs(Latex), 4figs.(ps

Physical Effects of Infrared Quark Eigenmodes in LQCD

A truncated determinant algorithm is used to study the physical effects of the quark eigenmodes associated with eigenvalues below 400 MeV. This initial study focuses on coarse lattices (with O(a^2) improved gauge action), light internal quark masses and large physical volumes. Four bellwether full QCD processes are discussed: topological charge distributions, the eta prime propagator, string breaking as observed in the static energy and the rho decay into two pions.Comment: LATTICE99(Confinement); 3pgs(Latex), 4figs.(eps

Finite Groups of Essential Dimension 2

We classify all finite groups of essential dimension 2 over an algebraically closed field of characteristic 0.Comment: 30 pages (To appear in Commentarii Mathematici Helvetici

Convergence of a collocation scheme for a retarded potential integral equation

Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to be unstable. Collocation schemes are easier to implement than full finite element formulations, but little appears to be known about their stability and convergence. We shall describe some new stable collocation schemes and use Fourier methods and techniques from the analysis of one dimensional Volterra integral equations of the first kind to demonstrate that such stable schemes are convergent

The performance of techniques for estimating the number of eligible signatories to a large petition on the basis of a sample of signatures : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Statistics at Massey University, Palmerston North, New Zealand

The New Zealand Citizens' Initiated Referenda Act, 1993, states that if a petition signed by at least 10 percent of eligible electors is presented to the House of Representatives, then parliament is required to hold an indicative referendum on the petition. Normal practice at present is to check a sample of the signatures and from that estimate the number of eligible electors who have signed a petition, making allowance for signatories who are not eligible and multiple signatures from eligible electors. We review a number of techniques used for similar problems such as estimating the size of a population through capture-recapture studies, or estimating the number of duplicate entries in a mailing list. One suitable estimator was developed by Goodman (1949). A number of variants on it are reported by Smith-Cayama & Thomas (1999). An estimator proposed by Esty (1985) was found to give unreasonable estimates, and so a modification was developed. In order to test the performance of the modified estimator, simulations, drawing repeated samples from artificial petitions with known distributions of multiple signatures, were performed. The simulation results allowed us to investigate bias in the estimators and the accuracy of the variance estimates proposed by Hass & Stokes (1998). The effect of sampling fraction on bias, variability and estimated variance of the estimators was also investigated. The simulation program was modified to include ineligible signatures. Results of these simulations showed that estimating the number of ineligible signatures added to the variability of the overall estimate of number of eligible signatories. Although Smith-Cayama & Thomas (1999) mention that the estimated number of multiple eligible signatures and the estimated number of ineligible signatures are correlated, the simulations suggest the correlation is small and makes little difference to the final estimate of variability

Masses and Decay Constants of Heavy-Light Mesons Using the Multistate Smearing Technique

We present results for f_B and masses of low-lying heavy-light mesons. Calculations were performed in the quenched approximation using multistate smearing functions generated from a spinless relativistic quark model Hamiltonian. Beta values range from 5.7 to 6.3, and light quark masses corresponding to pion masses as low as 300 MeV are computed at each value. We use the 1P--1S charmonium splitting to set the overall scale.Comment: 9 pages, 13 figures, and 5 tables as a single 193K compressed and uuencoded Postscript file, FERMILAB--CONF--93/376-

‘From Seoul with love': the continuing relevance of the 1986 Seoul ILA declaration on progressive development of public international law relating to a new international economic order

The purpose of this article is to reconsider, in the light of global developments and other challenges, attempts over the past four decades to agree principles and rules of international law relating to the establishment and operation of a New International Economic Order (NIEO). For its critics, the NIEO was a one-sided attempt, based on unsound legal and economic principles, to undermine the integrity of the global economic system, a system that had played a vital role in permitting the world to recover following the tragedy of the Second World War. For its proponents, it was, on the other hand, a life-and-death attempt to reorder a system that was perpetually and unfairly biased against the poor majority; ‘life-and-death’ because the poverty that results from lack of development was not (nor continues to be) an abstract issue. In particular, in seeking to narrow the fi eld of enquiry, this article will review the attempt by the non-governmental International Law Association (ILA)– acting through its international committee on the topic – to forge a clearer North-South consensus on this matter through the adoption of its 1986 Seoul Declaration on Progressive Development of Principles of Public International Law relating to a New International Economic Order. In consciously trying to overcome some of the more overt political divisions within the UN General Assembly, the ILA sought to find carefully crafted compromises on such topics as permanent sovereignty over natural resources, specifi cally expropriation, the right to development, common heritage of mankind, as well as on broader issues of equality, equity and economic solidarity. Now, over twenty years after Seoul, it is fitting to consider whether the 1986 Declaration, in trying to move the debate forward, ultimately proved little more than a symbolic, but largely futile, gesture. Was this legal desiratum just too idealistic and utopian, particularly in the light of changing global circumstances and political realities