Generating functions of substitutions
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866918522242727936 |
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| author | Pouti, Aisling Ramsey, Christopher Strungaru, Nicolae |
| author_facet | Pouti, Aisling Ramsey, Christopher Strungaru, Nicolae |
| contents | In this paper we study substitutions and some of their associated generating functions. This association takes aperiodicity to transcendence, and vice-versa. These generating functions have a recursive structure arising from the substitution which we use to study the roots of the characteristic function of the letter a in the Fibonacci substitution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16100 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generating functions of substitutions Pouti, Aisling Ramsey, Christopher Strungaru, Nicolae Combinatorics In this paper we study substitutions and some of their associated generating functions. This association takes aperiodicity to transcendence, and vice-versa. These generating functions have a recursive structure arising from the substitution which we use to study the roots of the characteristic function of the letter a in the Fibonacci substitution. |
| title | Generating functions of substitutions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2309.16100 |