  A new model of Laplacian stochastic growth is formulated using conformal
mappings. The model describes two growth regimes, stable and turbulent,
separated by a sharp phase transition. The first few Fourier components of the
mapping define the web, an envelope of the cluster. The web is used to study
the transition and the dynamics of large-scale features of the cluster
characterized by evolution from macro- to micro-scales. Also, we derive scaling
laws for the cluster size.
