Note to workshop organisers: I am not yet absolutely certain that I will be able to attend the workshop, but have submitted this position paper on the assumption that I will be able to attend for some or all of the meeting. My apologies for not being certain of my availability at this time.

Among the many families of nonperiodic tilings known so far, SCD tilings are still a bit mysterious. Here, we determine the diffraction spectra of point sets derived from SCD tilings and show that they have no absolutely continuous part, that they have a uniformly discrete pure point part on the axis Re3, and that they are otherwise supported on a set of concentric cylinder surfaces around this...

It is shown that the spectrum of a one-dimensional Dirac operator with a potential q tending to infinity at infinity, and such that the positive variation of 1}q is bounded, covers the whole real line and is purely absolutely continuous. An example is given to show that in general, pure absolute continuity is lost if the condition on the positive variation is dropped. The appendix contains a di...

This article looks into the concept of Buddha-nature in Maṇi bka’ ’bum, a revealed text (gter ma) ascribed to ancient Tibetan king Srong bstan sgam po, who is considered an incarnation Bodhisattva Avalokiteśvara, tutelary deity Tibet. There are two main technical terms that designate this text. One well-known bde bar gshegs pa’i snying used express idea all sentient beings have Buddha-nature, w...

We consider self-adjoint unbounded Jacobi matrices with diagonal qn = n and weights λn = cnn, where cn is a 2-periodical sequence of real numbers. The parameter space is decomposed into several separate regions, where the spectrum is either purely absolutely continuous or discrete. This constitutes an example of the spectral phase transition of the first order. We study the lines where the spec...

We propose a definition of directional multivariate subexponential and convolution equivalent densities find useful characterization these notions for class integrable almost radial decreasing functions. apply this result to show that the density absolutely continuous part compound Poisson measure built on given f is directionally inherits its asymptotic behaviour from if only equivalent. also ...

Divalent ions of the first series transition elements and Hg were introduced into a cadmium hydroxyapatite Cd5 (P04) 30H by replacing a part of Cd2+, and the effects on the crystal growths and the structural changes were studied. Cd2+ can be exchanged with Mn2+ up to about 30 mol %, with N¡Z+or Hg2+ up to about 10 mol %, and with a little amount of Fe2+ or Cu2+. It was found that Cd5 (PO.)sOH f...

In addition to the previously studied Zn(2+), low concentrations (about 0.5 mM) of Be(2+), Ba(2+), Cd(2+), Ni(2+), Cu(2+), Pt(4+) and, outstandingly, 0.5 microM of UO(2) (2+), potentiate the twitch of frog sartorius and toe muscles by prolonging the active state of contraction. The degree of potentiation is a roughly S-shaped function of p(metal(2+)), suggesting that each metal binds to a ligan...