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math.PR2024★ 1 cited
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 the…
math.PR2024★ 1 cited
Boolean models in hyperbolic space
Daniel Hug, Günter Last, Matthias Schulte
The union of the particles of a stationary Poisson process of compact (convex) sets in Euclidean space is called Boolean model and is a classical topic of stochastic geometry. In t…
math.PR2023
Moderate deviations on Poisson chaos
Matthias Schulte, Christoph Thaele
This paper deals with U-statistics of Poisson processes and multiple Wiener-Itô integrals on the Poisson space. Via sharp bounds on the cumulants for both classes of random variabl…