Structure of Mandelbrot's Percolation Process and Other Random Cantor Sets

摘要

The paper considers generalizations of Mandelbrot's percolation process. For the process called the random Sierpinski carpet, it shows that it passes through several different phases as its parameter increases from zero to one. The final section treats the percolation phase. (Copyright (c) 1989 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)