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 Aut(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.where m 1 , . . . , m d ∈ N. Webster [Web79] has given an explicit description of Aut(E m1,...,m d ) (also see [Nar69,Lan84]). First, we may assume thatThen if B k ⊂ C k is the unit ball and φ ∈ Aut(B k ), define a rational function