3 papers
math.PR2020
Weak convergence of the intersection point process of Poisson hyperplanes
Anastas Baci, Gilles Bonnet, Christoph Thäle
This paper deals with the intersection point process of a stationary and isotropic Poisson hyperplane process in of intensity , where only hyperplanes that inte…
math.PR2020
Limit theorems for random points in a simplex
Anastas Baci, Zakhar Kabluchko, Joscha Prochno +2
In this work the -norms of points chosen uniformly at random in a centered regular simplex in high dimensions are studied. Berry-Esseen bounds in the regime $1\leq q < \inf…
math.PR2019
Concentration inequalities for functionals of Poisson cylinder processes
Anastas Baci, Carina Betken, Anna Gusakova +1
Random union sets associated with stationary Poisson processes of -cylinders in are considered. Under general conditions on the typical cylinder base a concen…