Pure discrete spectrum in substitution tiling spaces

DOI10.3934/dcds.2013.33.579zbMath1291.37024arXiv1107.3598OpenAlexW2009146694MaRDI QIDQ1946311

Sonja Štimac, Marcy M. Barge, Robert F. Williams

Publication date: 19 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3598

zbMATH Keywords

pure discrete spectrumtiling dynamical systemsubstitution dynamical system of Pisot type

Mathematics Subject Classification ID

Related Items (9)

Geometrical and spectral properties of Pisot substitutions ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ Overlap coincidence to strong coincidence in substitution tiling dynamics ⋮ Proximality and pure point spectrum for tiling dynamical systems ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ The Pisot conjecture for -substitutions ⋮ Conjugacies of model sets ⋮ A combinatorial approach to products of Pisot substitutions ⋮ Pure discrete spectrum for a class of one-dimensional substitution tiling systems

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