Quantization for uniform distributions of Cantor dusts on ${\mathbb{R}}^2$

Dogan Comez, Mrinal Kanti Roychowdhury

Let $P$ be a Borel probability measure on ${\mathbb{R}}^2$ supported by the Cantor dusts generated by a set of $4^u,u\ge 1$, contractive similarity mappings satisfying the strong s…