2 papers
math.PR2026
Existence of a plane without edge crossings in projections of the random geometric graph
Lianne de Jonge, Kinga Nagy
Consider a random geometric graph with a vertex set defined by a Poisson point process with intensity in a convex body. We can generate a drawing of the graph by projecti…
math.PR2025
Coverage of the unit cube by dynamic Boolean models
Hanna Döring, Lianne de Jonge, Xiaochuan Yang
Motivated by peer-to-peer telecommunication, we study a dynamic Boolean model. We define a Poisson number of random lines through the -dimensional base of a -dimensional…