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Line-of-sight Cox percolation on Poisson–Delaunay triangulation

Author

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  • Corlin Marchand, David
  • Coupier, David
  • Henry, Benoît

Abstract

In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. On a street system 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 (i.e. on streets) or by a Bernoulli process on the vertices of the PDT (i.e. at crossroads). We state several percolation regimes for the resulting connectivity graph according to the parameters of the model. This work completes and specifies results of Le Gall et al. (2021). 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.

Suggested Citation

  • Corlin Marchand, David & Coupier, David & Henry, Benoît, 2024. "Line-of-sight Cox percolation on Poisson–Delaunay triangulation," Stochastic Processes and their Applications, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:spapps:v:176:y:2024:i:c:s0304414924001418
    DOI: 10.1016/j.spa.2024.104435
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