A fundamental bound for a Hadamard multiplier operator of Cauchy t ype implies a known bound on the inverse of the operator T : X ! AX ,XBas well as a general perturbation bound involving the unitary factor in the polar decomposition; the latter bound leads to a perturbation bound on the positive semideenite factor.

A k-wise independent distribution on n bits is a joint distribution of the bits such that each k of them are independent. In this paper we consider k-wise independent distributions with identical marginals, each bit has probability p to be 1. We address the following question: how high can the probability that all the bits are 1 be, for such a distribution? For a wide range of the parameters n,...

Modelling the chaotic states in terms of the Gaussian Orthogonal Ensemble of random matrices (GOE), we investigate the interaction of the GOE with regular bound states. The eigenvalues of the latter may or may not be embedded in the GOE spectrum. We derive a generalized form of the Pastur equation for the average Green’s function. We use that equation to study the average and the variance of th...

We describe a perturbation expansion for the energy and wave function of a weakly bound particle in a short-range potential in one space dimension. ∗Research supported in part by the National Science Foundation under Grant #PHY-9218167.

In this note we give an upper bound for λ(n), the maximum number of edges in a strongly multiplicative graph of order n, which is sharper than the upper bound obtained by Beineke and Hegde [1].

In various penalty/smoothing approaches to solving a linear program, one regularizes the problem by adding to the linear cost function a separable nonlinear function multiplied by a small positive parameter. Popular choices of this nonlinearfunction include the quadraticfunction, the logarithm function, and the x ln(x)-entropy function. Furthermore, the solutions generated by such approaches ma...

A central focus of QCD studies is the non-perturbative structure of hadron wavefunctions, not only bound-state valence quark distributions, but also the intrinsic gluon and heavy quark distributions associated with higher Fock states. In this talk I discuss how the production of heavy quark systems and the use of nuclear targets can help to identify and separate the various components of hadron...

We interprete non-overlapping domain decomposition methods as multiplicative subspace correction algorithms in the framework of Xu [8]. This allows us to estimate the effects of the perturbation which is created by an inexact solution of the problems on the subdomains that must be solved in each iteration. The general results are applied to finite element discretizations of the Poisson and Stok...

We calculate the large-volume and small-mass dependences of the quark condensate in quenched QCD using Neuberger's operator. We find good agreement with the predictions of quenched chiral perturbation theory, enabling a determination of the chiral lagrangian parameter Σ, up to a multiplicative renormalization.