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Letter frequency vs factor frequency in pure morphic words

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arxiv 2405.18696 v1 pith:LYPGSGDA submitted 2024-05-29 math.CO

Shuo Li This is my paper · ORCID
classification math.CO
keywords existfrequenciesfrequencymorphicpureanswersdoctoralfactor
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abstract

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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Cited by 1 Pith paper

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  1. LongMagpie: A Self-synthesis Method for Generating Large-scale Long-context Instructions

    cs.CL 2025-05 conditional novelty 5.0 of 10

    By prompting an aligned LLM with a document and the special token that precedes a user query, LongMagpie synthesizes long-context instruction data that outperforms prior datasets when used to fine-tune Llama-3-8B.

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