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arXiv · 1306.5879

Stable intersection of middle-$\alpha$ Cantor sets

M. Pourbarat
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Abstract

In the present paper, We introduce a pair of middle Cantor sets namely $(C_\alpha, C_\beta)$ having stable intersection, while the product of their thickness is smaller than one. Furthermore, the arithmetic difference $C_\alpha- \lambda C_\beta$ contains at least one interval for each nonzero number $\lambda$.

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M. Pourbarat. 2013-06-25. Stable intersection of middle-$\alpha$ Cantor sets. https://arxiv.org/abs/1306.5879

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