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We examine the stability of wireless networks whose users are distributedover a compact space. A subset of users is called {\it admissible} when theirsimultaneous activity obeys the prevailing interference constraints and, ineach time slot, an admissible subset of users is selected uniformly at randomto transmit one packet. We show that, under a mild condition, this randomadmissible-set scheduling mechanism achieves maximum stability in a broad setof scenarios, and in particular in symmetric cases. The proof relies on adescription of the system as a measure-valued process and the identification ofa Lyapunov function.

Stability of Random Admissible-Set Scheduling in Spatially Continuous Wireless Systems