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Stable intersection of middle-$α$ Cantor sets
Published 25 Jun 2013 in math.DS | (1306.5879v2)
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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