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

• Published in: Stochastic processes and their applications Vol. 176; p. 104435
• Main Authors: Corlin Marchand, David, Coupier, David, Henry, Benoît
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2024; Elsevier
• Subjects: Continuum percolation; Cox point process; D2D network; Enhancement; Mathematics; Probability; Random environment; Stochastic geometry; secondary; Stochastic geometry; Random environment; D2D network; Cox point process; Continuum percolation; Enhancement; primary; 60D05 Secondary: 68M10; 60G55; 90B15; random environment; continuum percolation; enhancement AMS 2010 Subject Classification: Primary: 60K35; stochastic geometry; enhancement AMS 2010 Subject Classification: Primary: 60K35 60G55 60D05 Secondary: 68M10 90B15

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 Bern...