2 papers
math.PR2025
Chemical distance in the Poisson Boolean model with regularly varying diameters
Peter Gracar, Marilyn Korfhage
We study the Poisson Boolean model with convex bodies which are rotation-invariant distributed. We assume that the convex bodies have regularly varying diameters with indices $-α_1…
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…