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math.PR2024
Robustness in the Poisson Boolean model with convex grains
Peter Gracar, Marilyn Korfhage, Peter Mörters
We study the Poisson Boolean model where the grains are random convex bodies with a rotation-invariant distribution. A grain distribution is dense if the union of the grains covers…
math.PR2024
Geometric scale-free random graphs on mobile vertices: broadcast and percolation times
Peter Gracar, Arne Grauer
We study the phenomenon of information propagation on mobile geometric scale-free random graphs, where vertices instantaneously pass on information to all other vertices in the sam…