On the self similarity of generalized Cantor sets

Derong Kong

We consider the self-similar structure of the class of generalized Cantor sets $${\Gamma }_{\mathcal{D}}=\{\sum _{n=1}^{\infty }{d}_n{\beta }^n:d_n\in D_n,n\ge 1\},$$ where $0<\beta <1$ and $D_…