arXiv
Open Access
2026
A positive answer to a symmetry conjecture on homogeneous IFS
Junda Zhang
Abstrak
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].
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Junda Zhang
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- Tahun Terbit
- 2026
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