15 citations · 60 across the 52 of their papers we have counts for
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math.PR2020
Absence of percolation in graphs based on stationary point processes with degrees bounded by two
Benedikt Jahnel, András Tóbiás
We consider undirected graphs that arise as deterministic functions of stationary point processes such that each point has degree bounded by two. For a large class of point process…
math.PR2020
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…
cs.NI2020
Malware propagation in urban D2D networks
Alexander Hinsen, Benedikt Jahnel, Elie Cali +1
We introduce and analyze models for the propagation of malware in pure D2D networks given via stationary Cox-Gilbert graphs. Here, the devices form a Poisson point process with ran…