Central sets and substitutive dynamical systems

DOI10.1016/j.aim.2013.08.003zbMath1339.37011arXiv1301.5745OpenAlexW1974885324MaRDI QIDQ2437524

Luca Q. Zamboni, Marcy M. Barge

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5745

zbMATH Keywords

Rauzy fractalssubstitutionsIP-setscentral setsabstract numeration systemsstrong coincidence conjecture

Mathematics Subject Classification ID

Related Items (1)

A history of central sets

Cites Work

• Distral transformation groups
• A simple characterization of sets satisfying the central sets theorem
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• Power of words and recognizability of fixpoints of a substitution
• Algebra in the Stone-Čech compactification: theory and applications
• Consequences of pure point diffraction spectra for multiset substitution systems
• Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts
• Proximality and pure point spectrum for tiling dynamical systems
• Strongly central sets and sets of polynomial returns mod 1
• Spectral theory and x-ray diffraction
• Digital sum moments and substitutions
• Geometric theory of unimodular Pisot substitutions
• Proximality in Pisot tiling spaces
• Nombres algébriques et substitutions
• The spectrum of dynamical systems arising from substitutions of constant length
• Geometric realizations of substitutions
• Coincidence for substitutions of Pisot type
• Nonmetrizable Topological Dynamics and Ramsey Theory
• Central sets generated by uniformly recurrent words
• A new and stronger central sets theorem
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