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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.06163 |
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| _version_ | 1866909641186738176 |
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| author | Zheng, Reila |
| author_facet | Zheng, Reila |
| contents | Sharkovsky's ordering describes orbit forcing of interval maps, and generalizations of Sharkovsky's ordering exist for maps of trees. In this paper I will describe Sharkovsky's ordering and analogous orderings for trees, and their occurrence on the Mandelbrot set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharkovsky's Ordering in the Mandelbrot Set Zheng, Reila Combinatorics Dynamical Systems Sharkovsky's ordering describes orbit forcing of interval maps, and generalizations of Sharkovsky's ordering exist for maps of trees. In this paper I will describe Sharkovsky's ordering and analogous orderings for trees, and their occurrence on the Mandelbrot set. |
| title | Sharkovsky's Ordering in the Mandelbrot Set |
| topic | Combinatorics Dynamical Systems |
| url | https://arxiv.org/abs/2506.06163 |