About Substitution Tilings with Statistical Circular Symmetry

Dirk Frettloeh (1)

1 Universität Bielefeld = Bielefeld University

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.

Mots clés: Physical Sciences

Dirk Frettloeh. About Substitution Tilings with Statistical Circular Symmetry. Philosophical Magazine, 2008, 88 (13-15), pp.2033-2039. ⟨10.1080/14786430801908062⟩. ⟨hal-00513863⟩