[HTML][HTML] Continuum percolation for Cox point processes

C Hirsch, B Jahnel, E Cali - Stochastic Processes and their Applications, 2019 - Elsevier
We investigate continuum percolation for Cox point processes, that is, Poisson point
processes driven by random intensity measures. First, we derive sufficient conditions for the …

Exponential moments for planar tessellations

B Jahnel, A Tóbiás - Journal of Statistical Physics, 2020 - Springer
In this paper we show existence of all exponential moments for the total edge length in a unit
disk for a family of planar tessellations based on stationary point processes. Apart from …

The typical cell in anisotropic tessellations

A Hinsen, C Hirsch, B Jahnel, E Cali - arXiv preprint arXiv:1811.09221, 2018 - arxiv.org
The typical cell is a key concept for stochastic-geometry based modeling in communication
networks, as it provides a rigorous framework for describing properties of a serving zone …

Estimation of the percolation threshold for d2d networks on urban road models

NN Gafur, E Cali, T En-Najjary… - 2018 10th International …, 2018 - ieeexplore.ieee.org
Multi-hop device-to-device (D2D) has been considered as a key technology for future
wireless communication networks in 5G. We studied this type of D2D networks using a …

Line segments which are unions of tessellation edges

R Cowan, V Weiss - Image Analysis and Stereology, 2018 - ias-iss.org
Planar tessellation structures occur in material science, geology (in rock formations), physics
(of foams, for example), biology (especially in epithelial studies) and in other sciences. Their …

Typical Voronoi cells for Cox point processes on Manhattan grids

A Hinsen, C Hirsch, B Jahnel… - … Symposium on Modeling …, 2019 - ieeexplore.ieee.org
The typical cell is a key concept for stochastic-geometry based modeling in communication
networks, as it provides a rigorous framework for describing properties of a serving zone …

The typical cell in anisotropic tessellations

C Hirsch, B Jahnel, A Hinsen, E Cali - 2018 - oa.tib.eu
The typical cell is a key concept for stochastic-geometry based modeling in communication
networks, as it provides a rigorous framework for describing properties of a serving zone …

Connectivity and percolation properties of stochastic networks

C Hirsch - 2015 - oparu.uni-ulm.de
The present thesis is devoted to the investigation of connectivity and percolation properties
of random geometric graphs, ie, graphs that are embedded in some Euclidean space …

[PDF][PDF] für Angewandte Analysis und Stochastik

C Hirsch, B Jahnel, P Keeler, R Patterson - wias-berlin.de
We study large-deviation principles for a model of wireless networks consisting of Poisson
point processes of transmitters and receivers, respectively. To each transmitter we associate …