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arXiv · 2603.11062

A positive answer to a symmetry conjecture on homogeneous IFS

Junda Zhang
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Abstract

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. 2026-03-09. A positive answer to a symmetry conjecture on homogeneous IFS. https://arxiv.org/abs/2603.11062

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