  We construct an aggregation process of chordal SLE(\kappa) excursions in the
unit disk, starting from the boundary, growing towards all inner points
simultaneously, invariant under all conformal self-maps of the disk. We prove
that this conformal growth process of excursions, abbreviated as CGE(\kappa),
exists iff \kappa\in [0,4), and that it does not create additional fractalness:
the Hausdorff dimension of the closure of all the SLE(\kappa) arcs attached is
1+\kappa/8 almost surely. We determine the dimension of points that are
approached by CGE(\kappa) at an atypical rate, and construct conformally
invariant random fields on the disk based on CGE(\kappa).
