Scaling structure of the surface layer of diffusion-limited aggregates

Abstract
We analyze numerical studies of the harmonic measure of diffusion-limited aggregates in two dimensions by modeling this measure by a fractal set of singularities. We discuss the relationship between the dimension of this fractal set and the strength of the singularities, and the implications of these ideas both for the dimension of the entire aggregate and also for a more complete theory of diffusion-limited aggregation.