Statistical and renewal results for the random sequential absorption model applied to a unidirectional multicracking problem

Pierre Calka (1) , André Mézin (2) , Pierre P. Vallois (3, 4)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
2 LSGS - Laboratoire de science et génie des surfaces
3 IECN - Institut Élie Cartan de Nancy
4 OMEGA - Probabilistic numerical methods

We model the positions of multiple cracks via a stationary process which is a particular of the RSA process.

Domaines: Probabilités [math.PR]

Pierre Calka, André Mézin, Pierre P. Vallois. Statistical and renewal results for the random sequential absorption model applied to a unidirectional multicracking problem. Stochastic Processes and their Applications, 2005, 115 (6), pp.983-1016. ⟨hal-00141488⟩