In this note are proved two conjectures of Daubechies and Lagarias. The first asserts that if Z is a bounded set of matrices such that all left infinite products converge, then 8 generates a bounded… Expand

The Woltjer-Taylor hypothesis suggests that constant-..cap alpha.. force-free fields may arise naturally as a result of magnetic helicity conservation during field relaxation. Thus, an analysis of… Expand

We prove that for a disjoint covering system with rational moduli, the two largest numerators of the moduli are identical for at least three moduli.Expand

We announce some new results about systems of residue sets. A residue set R C Z is an arithmetic progression R = {a,a±n,a± 2n,...}. The positive integer n is referred to as the modulus of R.… Expand

Abstract . This work involves the study of multidimensional scaling functions. These functions satisfy a two-scale dilation equation, just as the 1-D scaling functions which are used to construct 1-D… Expand

A mixture of SO2 and air was continuously injected in a fixed bed reactor containing a CuO/SBA-15 sorbent material and submitted to an isothermal temperature between 325 and 400 °C. The SO2 emissions… Expand

This article is concerned with Markov chains on ℝm constructed by randomly choosing an affine map at each stage, and then making the transition from the current point to its image under this map. The… Expand