Stochastic Geometry
random graphs
random polytopes
excursion sets of Poisson shot noise processes
random structures in hyperbolic space
Stochastic Processes and Random Fields
Poisson processes and Poisson functionals
point processes
Poisson shot noise processes
Normal Approximation and Variance Bounds
Malliavin-Stein method
central limit theorems
lower variance bounds
V. Trapp (2024), Geometric functionals of polyconvex excursion sets of Poisson shot noise processes, preprint, arXiv:2405.06952
D. Rosen, M. Schulte, C. Thäle, V. Trapp (2025), The radial spanning tree in hyperbolic space: Degree and edge-length, Electron. J. Probab. 30, paper no. 120, link
M. Schulte, V. Trapp (2024), Lower bounds for variances of Poisson processes, Electron. J. Probab. 29, paper no. 72, link
V. Trapp (2024), Lower variance bounds and normal approximation of Poisson functionals in stochastic geometry, phd thesis, link