2024/02/12 by David Corlin Marchand, Marchand, David Corlin, David Coupier +3
Computer Science · Environmental Science · Social Sciences · #Computational Geometry and Mesh Generation #FOS: Mathematics #Geographic Information Systems Studies #Probability (math.PR) #Remote Sensing and LiDAR Applications
paper · pdf · doi:10.48550/arxiv.2402.07544
openalex created_date 2024/02/12 · openalex publication_date 2024/02/12 · openalex updated_date 2026/07/28
In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. The street system is modeled by a Poisson-Delaunay triangulation (PDT). Users are of two types: given either by a Cox process supported by the edges of the PDT or by a Bernoulli process on the vertices of the PDT (i.e. on streets and at crossroads). Percolation of the resulting connectivity graph G p,λ,r is interpreted as long-range connection in the D2D network. According to the parameters p, λ, r of the model, we state several percolation regimes in Theorem 1 (see also Fig. 3). This work completes and specifies results of Le Gall et al [23]. To do it, we take advantage of a percolation tool, inspired by enhancement techniques, used to our knowledge for the first time in the context of communication networks.