%0 Journal Article
%T Substitutive Arnoux-Rauzy sequences have pure discrete spectrum
%A Valerie Berth¨¦
%A Timo Jolivet
%A Anne Siegel
%J Uniform Distribution Theory
%D 2012
%I Mathematical Institute of the Slovak Academy of Sciences
%X We prove that the symbolic dynamical system generated by a purely substitutive Arnoux-Rauzy sequenceis measurably conjugate to a toral translation.The proof is based on an explicit construction of a fundamental domain with fractal boundary(a Rauzy fractal) for this toral translation.
%K Arnoux-Rauzy substitutions
%K discrete spectrum
%K Rauzy fractal
%U http://www.boku.ac.at/MATH/udt/vol07/no1/09BertJolSieg29-11.pdf