Folds! II: Symmetry disturbed

DOI10.1007/BF03023552zbMath0493.10002OpenAlexW2331962362MaRDI QIDQ1168346

Michel Mendès France, F. Michel Dekking, Alfred J. van der Poorten

Publication date: 1982

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03023552

zbMATH Keywords

symmetrydeterministic sequencesMahler functionsalgebraicity mod pentropy of curvesfolded continued fractions

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Other designs, configurations (05B30) Continued fractions (11A55) Special sequences and polynomials (11B83) Transcendence (general theory) (11J81) Automata sequences (11B85) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01)

Related Items

A generalization of automatic sequences, Walking on real numbers, Wire bending, Interview with Jeffrey Shallit, Forcing nonperiodicity with a single tile, On the irrationality exponent of the regular paperfolding numbers, Multidimensional paperfolding systems, A generalization of automatic sequences, Greedy approximations by signed harmonic sums and the Thue-Morse sequence, Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010), On the values attained by a \(k\)-regular sequence

Cites Work

• Some more predictable continued fractions
• Simple continued fractions for the Fredholm numbers
• Simple continued fractions for some irrational numbers
• Arithmetic and analytic properties of paper folding sequences
• Uniform distribution modulo one: a geometrical viewpoint.
• Suites algébriques, automates et substitutions
• Substitution automata, functional equations and “functions algebraic over a finite field”
• Arithmetic properties of certain functions in several variables III
• Statistical Study of Digits of Some Square Roots of Integers in Various Bases
• Uniform tag sequences
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