Poisson point process convergence and extreme values in stochastic geometry

Matthias Schulte, Christoph Thaele

Let ${\eta }_t$ be a Poisson point process with intensity measure $t\mu$, $t>0$, over a Borel space $\mathbb{X}$, where $\mu$ is a fixed measure. Another point process ${\xi }_t$ on the real line…