Two-symbol Pisot substitutions have pure discrete spectrum
From MaRDI portal
Publication:4438714
DOI10.1017/S0143385702001384zbMath1031.11010OpenAlexW2084104787MaRDI QIDQ4438714
Michael Israel Hollander, B. M. Solomyak
Publication date: 9 December 2003
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385702001384
Related Items (25)
The \(S\)-adic Pisot conjecture on two letters ⋮ Symmetric and congruent Rauzy fractals ⋮ Dynamical directions in numeration ⋮ Pure discrete spectrum dynamical system and periodic tiling associated with a substitution ⋮ Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary ⋮ Open problems and conjectures related to the theory of mathematical quasicrystals ⋮ Cut and project sets with polytopal window II: linear repetitivity ⋮ Low complexity subshifts have discrete spectrum ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Constant length substitutions, iterated function systems and amorphic complexity ⋮ Conjugacy of unimodular Pisot substitution subshifts to domain exchanges ⋮ Selfdual substitutions in dimension one ⋮ Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems ⋮ The Cech cohomology and the spectrum for 1-dimensional tiling systems ⋮ Overlap coincidence to strong coincidence in substitution tiling dynamics ⋮ On ergodic averages for parabolic product flows ⋮ Introduction to Hierarchical Tiling Dynamical Systems ⋮ Diffraction intensities of a class of binary Pisot substitutions via exponential sums ⋮ Geometric realization for substitution tilings ⋮ Atomic surfaces, tilings and coincidence. I: Irreducible case ⋮ Homological Pisot substitutions and exact regularity ⋮ A combinatorial approach to products of Pisot substitutions ⋮ Weighted \(1\times 1\) cut-and-project sets in bounded distance to a lattice ⋮ Pure discrete spectrum for a class of one-dimensional substitution tiling systems
This page was built for publication: Two-symbol Pisot substitutions have pure discrete spectrum