Dimension vectors in regular components over wild Kronecker quivers

Let Kn be the so-called wild Kronecker quiver, i.e., a quiver with one source and one sink and n⩾3 arrows from the source to the sink. The following problems will be studied for an arbitrary regular component C of the Auslander–Reiten quiver: (1) What is the relationship between dimension vectors and quasi-lengths of the indecomposable regular representations in C? (2) For a given natural number d, is there an upper bound of the number of indecomposable representations in C with the same length d? (3) When do the sets of the dimension vectors of indecomposable representations in different regular components coincide?