Semigroups and the self-similar structure of the flipped Tribonacci substitution

DOI10.1016/S0893-9659(98)00121-9zbMath0976.11013OpenAlexW2093238798MaRDI QIDQ1809011

Victor F. Sirvent

Publication date: 9 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00121-9

zbMATH Keywords

semigroupsself-similaritynumeration systemsfinite automataIFSsubstitution

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Semigroups in automata theory, linguistics, etc. (20M35) Symbolic dynamics (37B10) Automata sequences (11B85)

Related Items (3)

Some properties of the Tribonacci sequence ⋮ Integer semigroups associated with Dumont-Thomas numeration systems ⋮ Symmetric Intersections of Rauzy Fractals

Cites Work

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• Relationships between the dynamical systems associated to the Rauzy substitutions
• Wythoff pairs as semigroup invariants
• Some remarks about Fibonacci multiplication
• Fibonacci multiplication
• Substitution dynamical systems - spectral analysis
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• Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
• On some dynamical subsets of the Rauzy fractal
• Nombres algébriques et substitutions
• Identifications and Dimension of the Rauzy Fractal
• Representations of numbers and finite automata
• Représentation géométrique de suites de complexité $2n+1$
• Geodesic laminations as geometric realizations of Pisot substitutions
• Odometers and systems of numeration

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