8 citations · 25 across the 13 of their papers we have counts for
8 papers · 1 filter
Chase-escape in dynamic device-to-device networks
Elie Cali, Alexander Hinsen, Benedikt Jahnel +1
The present paper features results on global survival and extinction of an infection in a multi-layer network of mobile agents. Expanding on a model first presented in [CHJW22], we…
Connectivity in mobile device-to-device networks in urban environments
Elie Cali, Alexander Hinsen, Benedikt Jahnel +1
In this article we setup a dynamic device-to-device communication system where devices, given as a Poisson point process, move in an environment, given by a street system of random…
Connection intervals in multi-scale dynamic networks
Christian Hirsch, Benedikt Jahnel, Elie Cali
We consider a hybrid spatial communication system in which mobile nodes can connect to static sinks in a bounded number of intermediate relaying hops. We describe the distribution…
Percolation and connection times in multi-scale dynamic networks
Christian Hirsch, Benedikt Jahnel, Elie Cali
We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into the question,…
Phase transitions for the Boolean model of continuum percolation for Cox point processes
Benedikt Jahnel, András Tóbiás, Elie Cali
We consider the Boolean model with random radii based on Cox point processes. Under a condition of stabilization for the random environment, we establish existence and non-existenc…
Phase transitions for chase-escape models on Gilbert graphs
Alexander Hinsen, Benedikt Jahnel, Elie Cali +1
We present results on phase transitions of local and global survival in a two-species model on Gilbert graphs. At initial time there is an infection at the origin that propagates o…