2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76170We consider a cascade model of $N$ different processors performing a distributed parallel simulation. The main goal of the study is to show that the long-time dynamics of the system has a cluster behavior. To attack this problem we combine two methods: stochastic comparison and Foster-Lyapunov functions.24 pages, 4 figuresProbabilityDistributed, Parallel, and Cluster Computing60J27 (Primary); 68M14, 68M20 (Secondary)text