Nonunique Ergodicity on the Boundary of Outer space
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909323929583616 |
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| author | Bestvina, Mladen Field, Elizabeth Kwak, Sanghoon |
| author_facet | Bestvina, Mladen Field, Elizabeth Kwak, Sanghoon |
| contents | To an $\mathbb{R}$-tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both kinds of simplices, we estimate the dimension of maximal simplices for arational $\mathbb{R}$-trees in the boundary of Outer space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15591 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonunique Ergodicity on the Boundary of Outer space Bestvina, Mladen Field, Elizabeth Kwak, Sanghoon Group Theory Dynamical Systems Geometric Topology To an $\mathbb{R}$-tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both kinds of simplices, we estimate the dimension of maximal simplices for arational $\mathbb{R}$-trees in the boundary of Outer space. |
| title | Nonunique Ergodicity on the Boundary of Outer space |
| topic | Group Theory Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2409.15591 |