15 citations · 60 across the 52 of their papers we have counts for
7 papers · 1 filter
Poisson approximation of fixed-degree nodes in weighted random connection models
Christian Hirsch, Benedikt Jahnel, Sanjoy Kumar Jhawar +1
We present a process-level Poisson-approximation result for the degree-k vertices in a high-density weighted random connection model with preferential-attachment kernel in the unit…
Locality properties for discrete and continuum Widom--Rowlinson models in random environments
Benedikt Jahnel, Christof Külske, Alexander Zass
We consider the Widom--Rowlinson model in which hard balls of two possible colors are constrained to a hard-core repulsion between particles of different colors, in quenched random…
A long-range contact process in a random environment
Benedikt Jahnel, Anh Duc Vu
We study survival and extinction of a long-range infection process on a diluted one-dimensional lattice in discrete time. The infection can spread to distant vertices according to…
Percolation in lattice -neighbor graphs
Benedikt Jahnel, Jonas Köppl, Bas Lodewijks +1
We define a random graph obtained via connecting each point of independently to a fixed number of its nearest neighbors via a directed edge. We ca…
On the long-time behaviour of reversible interacting particle systems in one and two dimensions
Benedikt Jahnel, Jonas Köppl
By refining Holley's free energy technique, we show that, under quite general assumptions on the dynamics, the attractor of a (possibly non-translation-invariant) interacting parti…
Existence of subcritical percolation phases for generalised weight-dependent random connection models
Benedikt Jahnel, Lukas Lüchtrath
We derive a sufficient condition for the existence of a subcritical percolation phase for a wide range of continuum percolation models where each vertex is embedded into Euclidean…
Trajectorial dissipation of -entropies for interacting particle systems
Benedikt Jahnel, Jonas Köppl
A classical approach for the analysis of the longtime behavior of Markov processes is to consider suitable Lyapunov functionals like the variance or more generally -entropies. V…