%0 Journal Article %T Stable intersection of middle-$¦Á$ Cantor sets %A M. Pourbarat %J Mathematics %D 2013 %I arXiv %X 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 $\lambda$. %U http://arxiv.org/abs/1306.5879v2