Paperfolding, Automata, and Rational Functions - Diagonals and ...

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References MICHEL DEKKING, MICHEL MENDÈS FRANCE, and AJvdP, ‘FOLDS!’, The Mathematical Intelligencer 4 (1982), 130–138; II: ‘Symmetry disturbed’, ibid. 173–181; III: ‘More morphisms’, ibid. 190–195; LEONARD LIPSHITZ and AJvdP, ‘Rational functions, diagonals, automata and arithmetic’, in Number Theory (First Conference of the Canadian Number Theory Association, Banff 1988) (Walter de Gruyter Berlin New York, 1990), 339–358; see http://www-centre.ics.mq.edu.au/alfpapers/a084.pdf. JEAN-PAUL ALLOUCHE and JEFFREY SHALLIT, Automatic Sequences, Cambridge UP, 2003. Essentially the present talk can be found on my website at http://www.maths.mq.edu.au/~alf/automata.pdf 54
References MICHEL DEKKING, MICHEL MENDÈS FRANCE, and AJvdP, ‘FOLDS!’, The Mathematical Intelligencer 4 (1982), 130–138; II: ‘Symmetry disturbed’, ibid. 173–181; III: ‘More morphisms’, ibid. 190–195; LEONARD LIPSHITZ and AJvdP, ‘Rational functions, diagonals, automata and arithmetic’, in Number Theory (First Conference of the Canadian Number Theory Association, Banff 1988) (Walter de Gruyter Berlin New York, 1990), 339–358; see http://www-centre.ics.mq.edu.au/alfpapers/a084.pdf. JEAN-PAUL ALLOUCHE and JEFFREY SHALLIT, Automatic Sequences, Cambridge UP, 2003. Essentially the present talk can be found on my website at http://www.maths.mq.edu.au/~alf/automata.pdf 54
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Paperfolding, Automata, and Rationa
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Paperfolding, Automata, and Rationa
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Paperfolding Take a rectangular she
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A Mahler Functional Equation Aside.
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Next, if we pair the sequence Regul
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Next, if we pair the sequence Regul
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The uniform, or regular, 2-substitu
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Characteristic Functions I found th
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An Algebraic Equation in Characteri
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These remarks show that the paperfo
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These remarks show that the paperfo
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The Thue-Morse Sequence 0 1 10 11 1
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The Thue-Morse Sequence 0 1 10 11 1
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Euler’s Identity and a Functional
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An Algebraic Equation The function
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A Counter-example in Analysis I cla
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The Shapiro Sequence Consider, the
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A Remark on the Shapiro Function Se
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Transcendence of Automatic Numbers
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Complexity of a Sequence Given an i
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Complexity of a Sequence Given an i
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Algebraicity and Automaticity The p
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Comments on the Proof The best proo
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But for expansions over the complex
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Power Series in Several Variables R
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Diagonals and Hadamard Products The
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Diagonals and Hadamard Products The
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A Theorem of Furstenberg It follows
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As said, in characteristic zero, ne
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A Beautiful Transcendence Argument
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A Beautiful Transcendence Argument
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Breaking Up in Characteristic p The
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Breaking Up in Characteristic p The
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Page 226 and 227: Whilst (i) and (ii) are reasonably
Page 228 and 229: References MICHEL DEKKING, MICHEL M
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