Periodic codings of algebraic graph-directed IFS

DOI10.1007/s11425-014-4911-2zbMath1314.28006OpenAlexW2256809388MaRDI QIDQ2018913

Ya-min Yang, Zhi-Ying Wen

Publication date: 26 March 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4911-2

zbMATH Keywords

iterated function systemperiodic codingRauzy box

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Substitutions in dynamics, arithmetics and combinatorics
• Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
• Fractal Penrose tiles. II: Tiles with fractal boundary as duals of Penrose triangles
• Dual systems of algebraic iterated function systems
• Purely periodic \(\beta \)-expansions in the Pisot non-unit case
• Self-dual tilings with respect to star-duality
• Atomic surfaces, tilings and coincidence. I: Irreducible case
• Finite beta-expansions
• Purely periodic 𝛽-expansions with Pisot unit base
• Hausdorff Dimension in Graph Directed Constructions
• Nombres algébriques et substitutions
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• Numeration systems and Markov partitions from self similar tilings
• Beta-expansions, natural extensions and multiple tilings associated with Pisot units
• On periodic \(\beta\)-expansions of Pisot numbers and Rauzy fractals
• Pisot substitutions and Rauzy fractals