2 problems

Let $A_p$ be the binary words constructed above, and let $p\geq 3$. An overlap-free binary word contains no factor of the form $xxx'$ where $x'$ is a nonempty prefix of $x$; its pe…

Let $A_1,A_2$ be the special $20\times20$ matrices with nonnegative integer entries associated with overlap-free words, and let $\mathcal{M}=\{A_1,A_2\}$. Let $\beta$ be the upper…