Reference: Spatial birth-and-death wireless networks, F. Baccelli et A. Sankararaman.
Stochastic geometry can prove useful to model spatial stochastic systems. In this paper, Baccelli and Sankararaman present a continuous space-time model for wireless networks taking into account stochastic interactions between users. The paper studies the stability region for the underlying Markov chain and produces an exact value for the cutoff arrival rate for the system. As an extension, I will talk about some natural extensions of the model I’m currently working on.