Abstract
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).