The Boolean Model in the Shannon Regime: Three Thresholds and Related Asymptotics

Venkat Anantharam, François Baccelli

Consider a family of Boolean models, indexed by integers $n\ge 1$, where the $n$-th model features a Poisson point process in ${\mathbb{R}}^n$ of intensity $e^{n{\rho }_n}$ with $ρ_n \…