About Substitution Tilings with Statistical Circular Symmetry

Abstract

Two results about equidistribution of tile orientations in primitive substitution tilings are stated, one for finitely many, one for infinitely many orientations. Furthermore, consequences for the associated diffraction spectra and the dynamical systems are discussed.

7 pages, 2 figures

References in corpus (2)

• Pure Point Dynamical and Diffraction Spectra
• A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns