Extended branching Rauzy induction
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912739758178304 |
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| author | Dolce, Francesco Hughes, Christian B. |
| author_facet | Dolce, Francesco Hughes, Christian B. |
| contents | Branching Rauzy induction is a two-sided form of Rauzy induction that acts on regular interval exchange transformations (IETs). We introduce an extended form of branching Rauzy induction that applies to arbitrary standard IETs, including non-minimal ones. The procedure generalizes the branching Rauzy method with two induction steps, merging and splitting, to handle equal-length cuts and invariant components respectively. As an application, we show, via a stepwise morphic argument, that all return words in the language of an arbitrary IET cluster in the Burrows-Wheeler sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22588 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extended branching Rauzy induction Dolce, Francesco Hughes, Christian B. Formal Languages and Automata Theory Discrete Mathematics Dynamical Systems 37B10, 37E05, 68R15 Branching Rauzy induction is a two-sided form of Rauzy induction that acts on regular interval exchange transformations (IETs). We introduce an extended form of branching Rauzy induction that applies to arbitrary standard IETs, including non-minimal ones. The procedure generalizes the branching Rauzy method with two induction steps, merging and splitting, to handle equal-length cuts and invariant components respectively. As an application, we show, via a stepwise morphic argument, that all return words in the language of an arbitrary IET cluster in the Burrows-Wheeler sense. |
| title | Extended branching Rauzy induction |
| topic | Formal Languages and Automata Theory Discrete Mathematics Dynamical Systems 37B10, 37E05, 68R15 |
| url | https://arxiv.org/abs/2511.22588 |