3 citations · 20 across the 38 of their papers we have counts for
8 papers · 2 filters
The Planar Lattice Two-Neighbor Graph Percolates
David Coupier, Benoît Henry, Benedikt Jahnel +1
The k-neighbor graph is a directed percolation model on the hypercubic lattice Z d in which each vertex independently picks exactly k of its 2d nearest neighbors at random, and we…
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…
Subcritical annulus crossing in spatial random graphs
Emmanuel Jacob, Benedikt Jahnel, Lukas Lüchtrath
We consider general continuum percolation models obeying sparseness, translation invariance, and spatial decorrelation. In particular, this includes models constructed on general p…
The variational principle for a marked Gibbs point process with infinite-range multibody interactions
Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck +1
We prove the Gibbs variational principle for the Asakura--Oosawa model in which particles of random size obey a hardcore constraint of non-overlap and are additionally subject to a…
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.…
An ergodic and isotropic zero-conductance model with arbitrarily strong local connectivity
Martin Heida, Benedikt Jahnel, Anh Duc Vu
We exhibit a percolating ergodic and isotropic lattice model in all but at least two dimensions that has zero effective conductivity in all spatial directions and for all non-trivi…