Scaling properties of generalized Carlitz sequences of polynomials

DOI10.1016/j.dam.2004.02.009zbMath1127.11019OpenAlexW1971595758MaRDI QIDQ1887052

Fritz von Haeseler, Gencho Skordev, André M. Barbé

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.dam.2004.02.009

zbMATH Keywords

self-similarityfractalspolynomial sequencesgeometric limitsnumber representations

Mathematics Subject Classification ID

Topological dynamics (37B99) Special sequences and polynomials (11B83) Other number representations (11A67)

Related Items (2)

The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS ⋮ TheL^q-spectrum of a class of graph directed self-affine measures

Cites Work

• Cellular automata can generate fractals
• On the expansion \(1=\sum q^{-n_i}\)
• Calculating growth rates and moments for additive cellular automata
• Self-similarity of linear cellular automata
• On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials
• Automatic sequences
• Limit sets of automatic sequences.
• Schur congruences, Carlitz sequences of polynomials and automaticity
• Congruence properties of the polynomials of Hermite, Laguerre and Legendre
• Systems of Numeration
• ON A CLASS OF FRACTAL MATRICES III: LIMIT STRUCTURES AND HIERARCHICAL ITERATED FUNCTION SYSTEMS
• SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA I
• SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA II
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