A positive answer to a symmetry conjecture on homogeneous IFS
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911517432086528 |
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| author | Zhang, Junda |
| author_facet | Zhang, Junda |
| contents | If two homogeneous IFSs satisfying the OSC with opposite common contraction factors share the same attractor on the real line, we show that this attractor is symmetric. This answers a question of Feng and Wang [Adv. Math. 222 (2009), 1964-1981]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11062 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A positive answer to a symmetry conjecture on homogeneous IFS Zhang, Junda Dynamical Systems 28A80 If two homogeneous IFSs satisfying the OSC with opposite common contraction factors share the same attractor on the real line, we show that this attractor is symmetric. This answers a question of Feng and Wang [Adv. Math. 222 (2009), 1964-1981]. |
| title | A positive answer to a symmetry conjecture on homogeneous IFS |
| topic | Dynamical Systems 28A80 |
| url | https://arxiv.org/abs/2603.11062 |