15 citations · 60 across the 52 of their papers we have counts for
4 papers · 1 filter
SINR percolation for Cox point processes with random powers
Benedikt Jahnel, András Tóbiás
Signal-to-interference plus noise ratio (SINR) percolation is an infinite-range dependent variant of continuum percolation modeling connections in a telecommunication network. Unli…
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…
Lower large deviations for geometric functionals
Christian Hirsch, Benedikt Jahnel, András Tóbiás
This work develops a methodology for analyzing large-deviation lower tails associated with geometric functionals computed on a homogeneous Poisson point process. The technique appl…
Exponential moments for planar tessellations
András Tóbiás, Benedikt Jahnel
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…