A positive answer to a symmetry conjecture on homogeneous IFS
Dynamical Systems
2026-03-17 v2
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].
Cite
@article{arxiv.2603.11062,
title = {A positive answer to a symmetry conjecture on homogeneous IFS},
author = {Junda Zhang},
journal= {arXiv preprint arXiv:2603.11062},
year = {2026}
}