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Letter frequency vs factor frequency in pure morphic words | Synapse

May 28, 2024Open Access

Letter frequency vs factor frequency in pure morphic words

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Resumen

We prove that, for any pure morphic word w, if the frequencies of all letters in w exist, then the frequencies of all factors in w exist as well. This result answers a question of Saari in his doctoral thesis.

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Cite This Study

Shuo Li (Tue,) studied this question.

synapsesocial.com/papers/68e68232b6db64358760ba24 https://doi.org/https://doi.org/10.48550/arxiv.2405.18696

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Words avoiding the morphic images of most of their factors2025
2On Occurrence-Preserving Morphisms2026
3Mapping words to powers by morphisms2025
4Tight Bounds for the Number of Absent Subsequences2024
5Repetition Factorization of Automatic Sequences2024