Diffraction of the Dart-Rhombus Random Tiling

Physics – Mathematical Physics

Scientific paper

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

Scientific paper

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.

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