Probabilistic analysis of column-convex and directed diagonally-convex animals. II: Trajectories and shapes.

Using some generating functions and limit theorems, we derive a stochastic description of the trajectories and shapes of column-convex and directed diagonally-convex animals for a given large area. The limiting processes are characterized by Brownian motions and the animals' thickness by some discrete distributions, the maximum of which is also analyzed. A simulated realization is constructed for both kind of animals. (C) 1999 John Wiley & Sons, Inc.