Arithmetic progressions in self-similar sets
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DOI: 10.1007/s11464-019-0788-2
Abstract: Given a sequence $\{b_{i}\}_{i=1}^{n}$ and a ratio $\lambda \in (0,1),$ let $E=\cup_{i=1}^n(\lambda E+b_i)$ be a homogeneous self-similar set. In this paper, we study the existence and maximal length of arithmetic progressions in $E$. Our main… read more here.
Keywords: self similar; similar sets; progressions self; arithmetic progressions ... See more keywords