40 citations · 48 across the 27 of their papers we have counts for
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math.PR2024
Percolation of fat Poisson cylinders in hyperbolic space
Carina Betken, Erik Broman, Anna Gusakova +1
In this paper we study Poisson processes of so-called "fat" cylinders in hyperbolic space. As our main result we show that this model undergoes a percolation phase transition. We p…
math.PR2024
Random polytopes in convex bodies: Bridging the gap between extremal containers
Florian Besau, Anna Gusakova, Christoph Thäle
We investigate the asymptotic properties of random polytopes arising as convex hulls of independent random points sampled from a family of block-beta distributions. Notably, th…
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…