14 citations · 34 across the 9 of their papers we have counts for
12 papers
A quantitative central limit theorem for Poisson horospheres in high dimensions
Zakhar Kabluchko, Daniel Rosen, Christoph Thäle
Consider a stationary Poisson process of horospheres in a -dimensional hyperbolic space. In the focus of this note is the total surface area these random horospheres induce in a…
Limit theory of sparse random geometric graphs in high dimensions
Gilles Bonnet, Christian Hirsch, Daniel Rosen +1
We study topological and geometric functionals of -random geometric graphs on the high-dimensional torus in a sparse regime, where the expected number of neighbors decays…
Fluctuations of -geodesic Poisson hyperplanes in hyperbolic space
Zakhar Kabluchko, Daniel Rosen, Christoph Thäle
Poisson processes of so-called -geodesic hyperplanes in -dimensional hyperbolic space are studied for . The case corresponds to genuine geodesic hyperplan…
Caustic-Free Regions for Billiards on Surfaces of Constant Curvature
Dan Itzhak Florentin, Yaron Ostrover, Daniel Rosen
In this note we study caustic-free regions for convex billiard tables in the hyperbolic plane or the hemisphere. In particular, following a result by Gutkin and Katok in the Euclid…
Random inscribed polytopes in projective geometries
Florian Besau, Daniel Rosen, Christoph Thäle
We establish central limit theorems for natural volumes of random inscribed polytopes in projective Riemannian or Finsler geometries. In addition, normal approximation of dual volu…
Relative growth rate and contact Banach-Mazur distance
Daniel Rosen, Jun Zhang
In this paper, we define a non-linear version of Banach-Mazur distance in the contact geometry set-up, called contact Banach-Mazur distance and denoted by . Explicitly…