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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.23607 |
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| _version_ | 1866913062928252928 |
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| author | Blokh, Alexander Oversteegen, Lex Timorin, Vladlen |
| author_facet | Blokh, Alexander Oversteegen, Lex Timorin, Vladlen |
| contents | This paper studies the space of degree $d>1$ invariant q-laminations, i.e.,
geodesic laminations invariant under the $d$-tupling map of the circle and
associated with equivalence relations. Our main construction associates a q-lamination with any degree $d$ critical portrait \emph{in a canonical way}. Even though somewhat technical, this is the initial step in the program
of classification of all degree $d$ invariant q-laminations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23607 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Root laminations of arbitrary degree Blokh, Alexander Oversteegen, Lex Timorin, Vladlen Dynamical Systems Primary 37F20, Secondary 37F10, 37F46 This paper studies the space of degree $d>1$ invariant q-laminations, i.e., geodesic laminations invariant under the $d$-tupling map of the circle and associated with equivalence relations. Our main construction associates a q-lamination with any degree $d$ critical portrait \emph{in a canonical way}. Even though somewhat technical, this is the initial step in the program of classification of all degree $d$ invariant q-laminations. |
| title | Root laminations of arbitrary degree |
| topic | Dynamical Systems Primary 37F20, Secondary 37F10, 37F46 |
| url | https://arxiv.org/abs/2604.23607 |