1 citations · 2 across the 8 of their papers we have counts for
9 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…
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…
Second-order properties for planar Mondrian tessellations
Carina Betken, Tom Kaufmann, Kathrin Meier +1
In this paper planar STIT tesselations with weighted axis-parallel cutting directions are considered. They are known also as weighted planar Mondrian tesselations in the machine le…
Approaching the coupon collector's problem with group drawings via Stein's method
Carina Betken, Christoph Thäle
In this paper the coupon collector's problem with group drawings is studied. Assume there are different coupons. At each time precisely of the coupons are drawn,…
Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes
Carina Betken, Matthias Schulte, Christoph Thäle
This paper deals with the union set of a stationary Poisson process of cylinders in having an -dimensional base and an -dimensional direction space, where…
Sedentary Random Waypoint
Carina Betken, Hanna Döring
We adjust the classical random waypoint mobility model used in the study of telecommunication networks to a more realistic setting by allowing participants of the network to return…
A central limit theorem for the number of isolated vertices in a preferential attachment random graph
Carina Betken
We study the number of isolated vertices in a preferential attachment random graph introduced by Dereich and Mörters in 2009. In this graph model vertices are added over time and n…
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…
Fluctuations in a general preferential attachment model via Stein's method
Carina Betken, Hanna Döring, Marcel Ortgiese
We consider a general preferential attachment model, where the probability that a newly arriving vertex connects to an older vertex is proportional to a sublinear function of the i…