2 problems

Brown's index-realization conjecture. Every integer $p$ can appear as the index of some iteration in the formula

Let $A$ be an expanding integer matrix whose characteristic polynomial is … and let $\mathcal{D}=\{0,1,\dots,m\}v$ with $m\geq1$ and $v\in\mathbb{R}^2$ such that $\{v,Av\}$ is line…