2 citations · 2 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
The Erdős-Rényi Random Graph Conditioned on Every Component Being a Clique
Martijn Gösgens, Lukas Lüchtrath, Elena Magnanini +2
Motivated by an application in community detection, we consider an \ER random graph conditioned on the rare event that all connected components are fully connected. Such graphs can…
Cluster sizes in subcritical soft Boolean models
Benedikt Jahnel, Lukas Lüchtrath, Marcel Ortgiese
We consider the soft Boolean model, a model that interpolates between the Boolean model and long-range percolation, where vertices are given via a stationary Poisson point process.…