  We characterize strongly Morse quasi-geodesics in Outer space as
quasi-geodesics which project to quasi-geodesics in the free factor graph. We
define convex cocompact subgroups of $Out(F_n)$ as subgroups such that an orbit
map in the free factor graph is a quasi-isometric embedding, and we
characterize such groups via their action on Outer space in a way which
resembles the characterization of convex cocompact subgroups of mapping class
groups.
