Ergodicity and steady state analysis for interference queueing networks

We analyze an interacting queueing network on Z d \mathbb {Z}^d that was introduced in Sankararaman, Baccelli and Foss (2019) as a model for wireless networks. show the marginals of minimal stationary distribution have exponential tails. This is used to furnish asymptotics maximum steady state queue length growing boxes around origin. also establish decay correlations which shows strongly mixing, hence, ergodic with respect translations .