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arxiv: 1711.10807 · v1 · pith:QXK2VBETnew · submitted 2017-11-29 · 💻 cs.FL

A Taxonomy of Morphic Sequences

classification 💻 cs.FL
keywords morphicpureexampleprimitivesequencesuniformaccordingclassify
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In this note we classify sequences according to whether they are morphic, pure morphic, uniform morphic, pure uniform morphic, primitive morphic, or pure primitive morphic, and for each possibility we either give an example or prove that no example is possible.

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  1. Pointwise order of generalized Hofstadter functions G, H and beyond

    cs.DM 2024-10 accept novelty 6.0 full

    Generalized Hofstadter functions F_k are pointwise non-decreasing in k, with asymptotic densities related to letter frequencies in generalized Fibonacci words, all results certified in Rocq.