The Narayana Morphism and Related Words
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910871489347584 |
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| author | Shallit, Jeffrey |
| author_facet | Shallit, Jeffrey |
| contents | The Narayana morphism $ν$ maps $0 \rightarrow 01$, $1 \rightarrow 2$, $2 \rightarrow 0$ and has a fixed point $\mathbf{n} = n_0 n_1 n_2 \cdots = {\tt 0120010120120}\cdots$. In this paper we study the properties of this word and related words using automata theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Narayana Morphism and Related Words Shallit, Jeffrey Combinatorics Discrete Mathematics Formal Languages and Automata Theory Number Theory The Narayana morphism $ν$ maps $0 \rightarrow 01$, $1 \rightarrow 2$, $2 \rightarrow 0$ and has a fixed point $\mathbf{n} = n_0 n_1 n_2 \cdots = {\tt 0120010120120}\cdots$. In this paper we study the properties of this word and related words using automata theory. |
| title | The Narayana Morphism and Related Words |
| topic | Combinatorics Discrete Mathematics Formal Languages and Automata Theory Number Theory |
| url | https://arxiv.org/abs/2503.01026 |