2 problems

Let $I=[0,1]$ be the domain, let $S$ be the vertical scaling function, and let $M_k$ and $M'_k$ be the matrices associated with the $k$-th subdivision, with spectral radii denoted…

Box-dimension equality conjecture. The equality holds in the displayed lower-bound formula: $\dim_B(L_a)$ equals the corresponding value in the cases listed there.