A simple method to compute void distributions of random Cantor sets is developed. In particular, a detailed calculation is presented for the void distribution of the random Cantor set used in a recent theory of fractal growth. The exact results allow us to clarify and rediscuss some of the implicit assumptions made previously in this theory.

• Received 20 July 1989

DOI:https://doi.org/10.1103/PhysRevA.40.5377