4 papers
Convex order and faster transmission in first contact percolation
Benedikt Jahnel, Jonas Köppl, Lukas Lüchtrath +1
Inspired by strict-monotonicity criteria for the time constant in first passage percolation, we investigate convex ordering of point processes in relation to the time constant in f…
Detection, coverage and percolation in dynamic Boolean models with random radii based on -stable processes
Peter Gracar, Benedikt Jahnel, Lukas Lüchtrath +1
We consider a dynamic network in continuum time and space in which nodes, with initial locations given by a Poisson point process, move according to i.i.d. isotropic -stable pr…
First contact percolation
Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu
We study a version of first passage percolation on where the random passage times on the edges are replaced by contact times represented by random closed sets on $\m…
Oriented bond-site percolation in random environment and contact processes with periodic recovery
Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu
We investigate oriented bond-site percolation on the planar lattice in which entire columns are stretched. Generalising recent results by Hilário et al., we establish non-trivial…