Every Weak Perron Number is an End-Periodic Stretch Factor
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915878208012288 |
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| author | Hillen, Paige Loving, Marissa Wu, Chenxi |
| author_facet | Hillen, Paige Loving, Marissa Wu, Chenxi |
| contents | Given any weak Perron number $λ$, we construct an end-periodic homeomorphism $f:Σ\rightarrow Σ$ with Handel-Miller stretch factor equal to $λ$ where $Σ$ is a connected infinite-type surface with finitely many ends all accumulated by genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20491 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Every Weak Perron Number is an End-Periodic Stretch Factor Hillen, Paige Loving, Marissa Wu, Chenxi Geometric Topology Dynamical Systems 57K20, 20F65, 37E30, 37B40, 37D05 Given any weak Perron number $λ$, we construct an end-periodic homeomorphism $f:Σ\rightarrow Σ$ with Handel-Miller stretch factor equal to $λ$ where $Σ$ is a connected infinite-type surface with finitely many ends all accumulated by genus. |
| title | Every Weak Perron Number is an End-Periodic Stretch Factor |
| topic | Geometric Topology Dynamical Systems 57K20, 20F65, 37E30, 37B40, 37D05 |
| url | https://arxiv.org/abs/2603.20491 |