4 problems

Quantitative dynamics conjectures. First, if $\phi$ is fully irreducible with expansion factor $\lambda_\phi>1$, then

Generic uniqueness conjecture. For a reasonable random walk on $\operatorname{Out}(F_r)$, having that $\mathcal{A}_\varphi$ has a unique artery is generic.

Let $F_n$ be a free group of rank $n$, let $\Gamma=F_n\rtimes_{\alpha}\langle trangle$ be a unipotent polynomial suspension, and let $F_m$ be a free group of rank $m$. Suppose that…

Let $G$ be a special group. A DLS automorphism is one of the automorphisms appearing in Theorems and; those appearing in Theorem are the relevant ones for…