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math.NT2015★ 2 cited
Intersections of multiplicative translates of -adic Cantor sets II: two infinite families
William C. Abram, Artem Bolshakov, Jeffrey C. Lagarias
This paper continues the study of the structure of finite intersections of general multiplicative translates $\mathcal{C}(M_1,\ldots,M_n)=\frac{1}{M_1}Σ_{3,\bar{2}}\cap\cdots\cap\f…
math.NT2013
Intersections of multiplicative translates of 3-adic Cantor sets
William Abram, Jeffrey C. Lagarias
Motivated by a question of Erdős, this paper considers questions concerning the discrete dynamical system on the 3-adic integers given by multiplication by 2. Let the 3-adic Cantor…