15 citations · 60 across the 52 of their papers we have counts for
10 papers · 1 filter
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…
Gibbs measures for hardcore-SOS models on Cayley trees
Benedikt Jahnel, Utkir Rozikov
We investigate the finite-state -solid-on-solid model, for , on Cayley trees of order and establish a system of functional equations where each solution corr…
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…
Large and moderate deviations in Poisson navigations
Partha Pratim Ghosh, Benedikt Jahnel, Sanjoy Kumar Jhawar
We derive large- and moderate-deviation results in random networks given as planar directed navigations on homogeneous Poisson point processes. In this non-Markovian routing scheme…
Time-periodic behaviour in one- and two-dimensional interacting particle systems
Jonas Köppl, Benedikt Jahnel
We provide a class of examples of interacting particle systems on , for , that admit a unique translation-invariant stationary measure, which is not the…
Three-state -SOS models on binary Cayley trees
Benedikt Jahnel, Utkir Rozikov
We consider a version of the solid-on-solid model on the Cayley tree of order two in which vertices carry spins of value or and the pairwise interaction of neighboring ve…