4 citations · 7 across the 7 of their papers we have counts for
10 papers · 1 filter
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…
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…
Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space
Holger Sambale, Christoph Thäle, Tara Trauthwein
Consider a stationary Poisson process in the -dimensional Euclidean or hyperbolic space and construct a random graph with vertex set as follows. First, each point $x\inη…
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…
Quantification of the Fourth Moment Theorem for Cyclotomic Generating Functions
Benedikt Rednoß, Christoph Thäle
This paper deals with sequences of random variables only taking values in . The probability generating functions of such random variables are polynomials of d…
Vertex number of the typical cell in a tri-directional Poisson line tessellation
Nils Heerten, Janina Hübner, Christoph Thäle
This paper deals with the typical cell in a Poisson line tessellation in the plane whose directional distribution is concentrated on three equally spread values with possibly diffe…