The Thue-Morse-Pascal double sequence and similar structures

DOI10.1016/j.crma.2011.07.022zbMath1245.68152OpenAlexW2132941284MaRDI QIDQ640882

Mihai Prunescu

Publication date: 21 October 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.07.022

zbMATH Keywords

recurrent sequenceplanar substitution

Mathematics Subject Classification ID

Combinatorics on words (68R15) Recurrences (11B37) Fractals (28A80)

Related Items

Sommes de Birkhoff itérées sur des extensions finies d'odomètres. Construction de solutions auto-similaires à des équations différentielles avec délai ⋮ A growth model based on the arithmetic \(Z\)-game ⋮ Resolution of an integral equation with the Thue-Morse sequence ⋮ A two-valued recurrent double sequence that is not automatic

Cites Work

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• Linear recurrent double sequences with constant border in \(M_2(\mathbb F_2)\) are classified according to their geometric content
• Cellular automata can generate fractals
• An undecidable property of recurrent double sequences
• Self-similar carpets over finite fields
• Pentaplexity. A class of non-periodic tilings of the plane
• Theory of cellular automata: a survey
• Functional stepped surfaces, flips, and generalized substitutions
• Undecidability and nonperiodicity for tilings of the plane
• Multidimensional constant-length substitution sequences
• Sequences close to periodic
• RECURRENT DOUBLE SEQUENCES THAT CAN BE PRODUCED BY CONTEXT-FREE SUBSTITUTIONS
• Automatic Sequences
• Directions in Mathematical Quasicrystals
• RECURRENT TWO-DIMENSIONAL SEQUENCES GENERATED BY HOMOMORPHISMS OF FINITE ABELIAN p-GROUPS WITH PERIODIC INITIAL CONDITIONS