Finite and bounded Auslander–Reiten components in the derived category

We analyze Auslander–Reiten components for the bounded derived category of a finite-dimensional algebra. We classify derived categories whose Auslander–Reiten quiver has either a finite stable component or a stable component with finite Dynkin tree class or a bounded stable component. Their Auslander–Reiten quivers are determined. We also determine components that contain shift periodic complexes.