2 problems

Let $\mathbb G=\mathbb F\rtimes_\phi\mathbb Z$ and $\mathbb G'=\mathbb F'\rtimes_\psi\mathbb Z$ be free-by-cyclic groups. Let $\mathfrak d(\phi)$ denote the length, or size, of a l…

Let $\mathbb G=\mathbb F\rtimes_\phi\mathbb Z$ be a free-by-cyclic group, and suppose that $\phi$ has exponential growth. Let the attracting laminations of $\phi$ be partially orde…