44 citations · 57 across the 13 of their papers we have counts for
13 papers
Planarity and number of crossings in general models of random geometric graphs
Hanna Döring, Kinga Nagy
Consider a random geometric graph with vertices given by a Poisson point process, and whose edges depend on independent marks corresponding to the vertices and pairs of vertices. I…
Fine asymptotics of the magnetization of the annealed dilute Curie-Weiss model
Fabian Apostel, Hanna Döring, Kristina Schubert
We consider the dilute Curie-Weiss model of size , which is a generalization of the classical Curie-Weiss model in which the dependency structure between the spins is encoded no…
Normal approximation of stabilizing Poisson pair functionals with column-type dependence
Hanna Döring, Adélie Garin, Christian Hirsch +1
In this paper, we study two specific types of -dimensional Poisson functionals: a double-sum type and a sum-log-sum type, both over pairs of Poisson points. On these functionals…
Coverage of the unit cube by dynamic Boolean models
Hanna Döring, Lianne de Jonge, Xiaochuan Yang
Motivated by peer-to-peer telecommunication, we study a dynamic Boolean model. We define a Poisson number of random lines through the -dimensional base of a -dimensional…
Limit theorems for the number of crossings and stress in projections of the random geometric graph
Hanna Döring, Lianne de Jonge
We consider the number of edge crossings in a random graph drawing generated by projecting a random geometric graph on some compact convex set , , o…
Asymptotics of a time bounded cylinder model
Nils Aschenbruck, Stephan Bussmann, Hanna Döring
One way to model telecommunication networks are static Boolean models. However, dynamics such as node mobility have a significant impact on the performance evaluation of such netwo…
The Method of Cumulants for the Normal Approximation
Hanna Döring, Sabine Jansen, Kristina Schubert
The survey is dedicated to a celebrated series of quantitave results, developed by the Lithuanian school of probability, on the normal approximation for a real-valued random variab…
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…
Connection times in large ad-hoc mobile networks
Hanna Döring, Gabriel Faraud, Wolfgang König
We study connectivity properties in a probabilistic model for a large mobile ad-hoc network. We consider a large number of participants of the system moving randomly, independently…
Moderate deviations for the determinant of Wigner matrices
Hanna Döring, Peter Eichelsbacher
We establish a moderate deviations principle (MDP) for the log-determinant of a Wigner matrix matching four moments with either the GUE or GOE ensemble.…
Edge fluctuations of eigenvalues of Wigner matrices
Hanna Döring, Peter Eichelsbacher
We establish a moderate deviation principle (MDP) for the number of eigenvalues of a Wigner matrix in an interval close to the edge of the spectrum. Moreover we prove a MDP for the…
Moderate deviations via cumulants
Hanna Doering, Peter Eichelsbacher
The purpose of the present paper is to establish moderate deviation principles for a rather general class of random variables fulfilling certain bounds of the cumulants. We apply a…
Moderate deviations in random graphs and Bernoulli random matrices
Hanna Döring, Peter Eichelsbacher
We prove a moderate deviation principle for subgraph count statistics of Erdos-Renyi random graphs. This is equivalent in showing a moderate deviation principle for the trace of a…