4 papers
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…
Sectional Voronoi tessellations: Characterization and high-dimensional limits
Anna Gusakova, Zakhar Kabluchko, Christoph Thaele
The intersections of beta-Voronoi, beta-prime-Voronoi and Gaussian-Voronoi tessellations in with -dimensional affine subspaces, , are shown…
Intrinsic volumes of ellipsoids
Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets
We deduce explicit formulae for the intrinsic volumes of an ellipsoid in , , in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset \mat…