  Off-lattice DLA clusters grown with different levels of noise reduction are
found to be consistent with a simple fractal fixed point. Cluster shapes and
their ensemble variation exhibit a dominant slowest correction to scaling, and
this also accounts for the apparent ``multiscaling'' in the DLA mass
distribution. We interpret the correction to scaling in terms of renormalized
noise. The limiting value of this variable is strikingly small and is dominated
by fluctuations in cluster shape. Earlier claims of anomalous scaling in DLA
were misled by the slow approach to this small fixed point value.
