Combinatorics of linear iterated function systems with overlaps

Nikita Sidorov

Let ${\mathbf{p}}_0,...,{\mathbf{p}}_{m-1}$ be points in ${\mathbb{R}}^d$, and let $\{f_j{\}}_{j=0}^{m-1}$ be a one-parameter family of similitudes of ${\mathbb{R}}^d$: $$ f_j(\bm x) = λ\bm x + (1-λ…