The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS

DOI10.1016/j.dam.2009.07.011zbMath1261.11026OpenAlexW2035599617MaRDI QIDQ967444

Zhiying Wen, Tian-jia Ni

Publication date: 28 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.dam.2009.07.011

zbMATH Keywords

cellular automataregular languageIFSfractalbeta-expansionnumeration systemself-affineCarlitz sequences of polynomials

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Fractals (28A80) Special sequences and polynomials (11B83)

Cites Work

• Unnamed Item
• Unnamed Item
• Cellular automata can generate fractals
• Calculating growth rates and moments for additive cellular automata
• Self-similarity of linear cellular automata
• Numeration systems, linear recurrences, and regular sets
• Greedy numeration systems and regularity
• Scaling properties of generalized Carlitz sequences of polynomials
• \(\beta\)-shift, numeration systems, and automata
• Schur congruences, Carlitz sequences of polynomials and automaticity
• Congruence properties of the polynomials of Hermite, Laguerre and Legendre
• Statistical mechanics of cellular automata
• TheL^q-spectrum of a class of graph directed self-affine measures
• SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA I
• SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA II

This page was built for publication: The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS