Diffraction of the Dart-Rhombus Random Tiling

Abstract

The diffraction spectrum of the dart-rhombus random tiling of the plane is derived in rigorous terms. Using the theory of dimer models, it is shown that it consists of Bragg peaks and an absolutely continuous diffuse background, but no singular continuous component. The Bragg part is given explicitly.

4 pages with 4 figures; to be published in the proceedings of ICQ7'99