  For bounded pseudoconvex domains with finite type we give a precise
description of the automorphism group: if an orbit of the automorphism group
accumulates on at least two different points of the boundary, then the
automorphism group has finitely many components and is the almost direct
product of a compact group and connected Lie group locally isomorphic to ${ \rm
Aut}(\mathbb{B}_k)$. Further, the limit set is a smooth submanifold
diffeomorphic to the sphere of dimension $2k-1$. As applications we prove a new
finite jet determination theorem and a Tits alternative theorem. The geometry
of the Kobayashi metric plays an important role in the paper.
