4 citations · 7 across the 7 of their papers we have counts for
7 papers
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…
Large deviations for hyperbolic -nearest neighbor balls
Christian Hirsch, Moritz Otto, Takashi Owada +1
We prove a large deviation principle for the point process of large Poisson -nearest neighbor balls in hyperbolic space. More precisely, we consider a stationary Poisson point p…
Intersections of Poisson -flats in constant curvature spaces
Carina Betken, Daniel Hug, Christoph Thäle
Poisson processes in the space of -dimensional totally geodesic subspaces (-flats) in a -dimensional standard space of constant curvature are studied, who…
Sharpening the probabilistic Arithmetic-Geometric Mean Inequality
Tom Kaufmann, Christoph Thäle
We consider the -generalized arithmetic-geometric mean inequality for vectors chosen randomly from the -ball in . In this setting the inequality can be i…