4 citations · 8 across the 20 of their papers we have counts for
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On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems
Anna Gusakova, Christoph Thäle
Let be the triangle in the plane with vertices , and . The convex hull of , and independent random points uniformly distributed in …
Sharp inequalities for the mean distance of random points in convex bodies
Gilles Bonnet, Anna Gusakova, Christoph Thäle +1
For a convex body the mean distance is the expected Euclidean distance of two independent and uniformly distributed random points…
Concentration on Poisson spaces via modified -Sobolev inequalities
Anna Gusakova, Holger Sambale, Christoph Thaele
Concentration properties of functionals of general Poisson processes are studied. Using a modified -Sobolev inequality a recursion scheme for moments is established, which is of…
The -Delaunay tessellation I: Description of the model and geometry of typical cells
Anna Gusakova, Zakhar Kabluchko, Christoph Thäle
In this paper two new classes of stationary random simplicial tessellations, the so-called - and -Delaunay tessellations, are introduced. Their construction is based on a sp…