6 papers
Percolation for D2D Networks on Street Systems
Elie Cali, Nila Novita Gafur, Christian Hirsch +3
We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other…
Large deviations for the capacity in dynamic spatial relay networks
Christian Hirsch, Benedikt Jahnel
We derive a large deviation principle for the space-time evolution of users in a relay network that are unable to connect due to capacity constraints. The users are distributed acc…
Continuum percolation for Cox point processes
Christian Hirsch, Benedikt Jahnel, Elie Cali
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 e…
Coalescence of Euclidean geodesics on the Poisson-Delaunay triangulation
David Coupier, Christian Hirsch
Let us consider Euclidean first-passage percolation on the Poisson-Delaunay triangulation. We prove almost sure coalescence of any two semi-infinite geodesics with the same asympto…
Large-deviation principles for connectable receivers in wireless networks
Christian Hirsch, Benedikt Jahnel, Paul Keeler +1
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 assoc…
Bounded-hop percolation
Christian Hirsch
Motivated by an application in wireless telecommunication networks, we consider a two-type continuum-percolation problem involving a homogeneous Poisson point process of users and…