Continuum percolation in high dimensions
Résumé
Consider a Boolean model $\Sigma$ in $\R^d$, where the centers are given by a homogeneous Poisson point process with intensity $\lambda$ and the radii of distinct balls are i.i.d. \ with common distribution $\nu$. Some numerical simulations and some heuristic arguments suggest that the critical covered volume $c^c_d(\nu)$, which is the proportion of space covered by $\Sigma$ at critical intensity, may be minimal when $\nu$ is a Dirac measure.
Origine : Fichiers produits par l'(les) auteur(s)