4 papers · 1 filter
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…
The interplay of dormancy and transfer in bacterial populations: Invasion, fixation and coexistence regimes
Jochen Blath, András Tóbiás
We investigate the interplay between two fundamental mechanisms of microbial population dynamics and evolution called dormancy and horizontal gene transfer. The corresponding trait…
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…
Particle systems with coordination
Adrián González Casanova, Noemi Kurt, András Tóbiás
We consider a generalization of spatial branching coalescing processes in which the behaviour of individuals is not (necessarily) independent, on the contrary, individuals tend to…