Stochastic spatial models in large wireless networks

A realistic model for the geometry of a mobile wireless network, i.e. the spatial configuration of its nodes, must take into account the randomness involved in nodes' locations which is the consequence of the unpredictanle movement of nodes. Stochastic geometry and point processes are rich mathematical disciplines which can be used to model such random wireless networks. In this paper, we discuss various types of point processes which can be applied to model the geometry of large wireless networks. Futher applications in interference modeling in random wireless networks and also dynamic spectrum access will be discussed.