par Louchard, Guy
Référence Random structures & algorithms, 15, 1, page (1-23)
Publication Publié, 1999-08
Article révisé par les pairs
Résumé : 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. © 1999 John Wiley & Sons, Inc. Random Struct. Alg., 15, 1-23, 1999.