Pure Discrete Spectrum for One-dimensional Substitution Systems of Pisot Type
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Publication:4796572
DOI10.4153/CMB-2002-062-3zbMath1038.37008MaRDI QIDQ4796572
Victor F. Sirvent, B. M. Solomyak
Publication date: 2002
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
pure discrete spectrumbalanced pair algorithmtiling flowoverlap algorithmsubstitution system of Pisot type
Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23)
Related Items (16)
Geometrical and spectral properties of Pisot substitutions ⋮ Dynamical directions in numeration ⋮ Substitutions, abstract number systems and the space filling property ⋮ Open problems and conjectures related to the theory of mathematical quasicrystals ⋮ Measure-wise disjoint Rauzy fractals with the same incidence matrix ⋮ Decidability Problems for Self-induced Systems Generated by a Substitution ⋮ Low complexity subshifts have discrete spectrum ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Algorithm for determining pure pointedness of self-affine tilings ⋮ The Cech cohomology and the spectrum for 1-dimensional tiling systems ⋮ Overlap coincidence to strong coincidence in substitution tiling dynamics ⋮ Study of irreducible balanced pairs for substitutive languages ⋮ The geometry of non-unit Pisot substitutions ⋮ Diffraction intensities of a class of binary Pisot substitutions via exponential sums ⋮ Symmetric Intersections of Rauzy Fractals ⋮ On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution
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