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Separation properties for self-conformal sets

Separation properties for self-conformal sets

For a one-to-one self-conformal contractive system $\{ w_{j} \}_{j=1}^{m}$ on ${\mathbb R}^{d}$ with attractor $K$ and conformality dimension $\alpha$, Peres <i>et al.</i> showed that the open set condition and strong open set condition are both equival