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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.20221 |
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| _version_ | 1866914816680001536 |
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| author | Barro, Moussa Bognini, K. Ernest Kientéga, Boucaré |
| author_facet | Barro, Moussa Bognini, K. Ernest Kientéga, Boucaré |
| contents | Let us consider an infinite word and $k\geq 1$ an integer. By steps of $k$, we substitute a letter ofthis infinite word by the power of an external letter. The new word obtaining by this process is called $k$ to $k$ substitution of a power letter. After the application of this new notion on modulo-reccurent words and in particular on Sturmian words. We establish the complexity function of those words. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20221 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the generalization of the study of a letter power substitution on modulo-recurrent words Barro, Moussa Bognini, K. Ernest Kientéga, Boucaré Combinatorics 68R15, 11B85, 03D15 Let us consider an infinite word and $k\geq 1$ an integer. By steps of $k$, we substitute a letter ofthis infinite word by the power of an external letter. The new word obtaining by this process is called $k$ to $k$ substitution of a power letter. After the application of this new notion on modulo-reccurent words and in particular on Sturmian words. We establish the complexity function of those words. |
| title | On the generalization of the study of a letter power substitution on modulo-recurrent words |
| topic | Combinatorics 68R15, 11B85, 03D15 |
| url | https://arxiv.org/abs/2405.20221 |