2 papers
math.PR2024
The radial spanning tree in hyperbolic space
Daniel Rosen, Matthias Schulte, Christoph Thäle +1
Consider a stationary Poisson process in a -dimensional hyperbolic space of constant curvature and let the points of together with a fixed origin be t…
math.PR2024
Geometric functionals of polyconvex excursion sets of Poisson shot noise processes
Vanessa Trapp
Excursion sets of Poisson shot noise processes are a prominent class of random sets. We consider a specific class of Poisson shot noise processes whose excursion sets within compac…