Limit sets of unfolding paths in Outer space
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910704569679872 |
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| author | Bestvina, Mladen Gupta, Radhika Tao, Jing |
| author_facet | Bestvina, Mladen Gupta, Radhika Tao, Jing |
| contents | We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a non-geometric arational $\mathbb{R}$-tree T. We also show that T admits exactly two dual ergodic projective currents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06992 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Limit sets of unfolding paths in Outer space Bestvina, Mladen Gupta, Radhika Tao, Jing Group Theory Dynamical Systems Geometric Topology 20F65, 20E08, 57M60, 20E36 We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a non-geometric arational $\mathbb{R}$-tree T. We also show that T admits exactly two dual ergodic projective currents. |
| title | Limit sets of unfolding paths in Outer space |
| topic | Group Theory Dynamical Systems Geometric Topology 20F65, 20E08, 57M60, 20E36 |
| url | https://arxiv.org/abs/2207.06992 |