Substitutive Arnoux-Rauzy sequences have pure discrete spectrum

zbMath1313.37004arXiv1108.5574MaRDI QIDQ2879395

Valérie Berthé, Timo Jolivet, Anne Siegel

Publication date: 29 August 2014

Full work available at URL: https://arxiv.org/abs/1108.5574

zbMATH Keywords

discrete spectrumRauzy fractalArnoux-Rauzy substitutions

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10)

Related Items (6)

Geometrical and spectral properties of Pisot substitutions ⋮ Symmetric and congruent Rauzy fractals ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ Conjugacy of unimodular Pisot substitution subshifts to domain exchanges ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Pure discrete spectrum for a class of one-dimensional substitution tiling systems

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