In this letter, we analyze the stable packet arrival rate region in a discrete-time slotted random access network characterized by transmitters arranged according to a Matérn hard-core point process. Each transmitter, paired with a fixed-distance receiver, transmits packets with probability $ p $ . Our primary contribution is the derivation of both sufficient and necessary conditions for $\epsilon $ -stability in this network setting. This analysis offers new insights into network behavior, influencing design and optimization of modern wireless communication systems under probabilistic transmission scenarios.

中文翻译：

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表征具有硬核空间约束的无线网络中的稳定区域


在这封信中，我们分析了离散时隙随机接入网络中的稳定数据包到达率区域，该网络的特征是根据 Matérn 硬核点过程排列的发射机。每个发射器与固定距离接收器配对，以概率传输数据包$p$ 。我们的主要贡献是推导了充分必要条件$\epsilon$ - 此网络设置的稳定性。该分析为网络行为提供了新的见解，影响了概率传输场景下现代无线通信系统的设计和优化。