15 citations · 60 across the 52 of their papers we have counts for
9 papers · 1 filter
Coexistence for Competing Branching Random Walks with Identical Asymptotic Shape on
Partha Pratim Ghosh, Benedikt Jahnel
We consider two independent branching random walks that start next to each other on the -dimensional hypercubic lattice and that carry two different colors. Vertices of the latt…
Local criteria for global connectivity comparisons: beyond stochastic domination
Johannes Bäumler, Benedikt Jahnel, Jonas Köppl +3
We introduce a site-wise domination criterion for local percolation models, which enables the comparison of one-arm probabilities even in the absence of stochastic domination. The…
Reversible birth-and-death dynamics in continuum: free-energy dissipation and attractor properties
Yannic Steenbeck, Alexander Zass, Jonas Köppl +1
We consider continuous-time birth-and-death dynamics in that admit at least one infinite-volume Gibbs point process based on area interactions as a reversible measur…
Functional limit theorems for edge counts in dynamic random connection hypergraphs
Christian Hirsch, Benedikt Jahnel, Péter Juhász
We introduce a dynamic random hypergraph model constructed from a bipartite graph. In this model, both vertex sets of the bipartite graph are generated by marked Poisson point proc…
Oriented bond-site percolation in random environment and contact processes with periodic recovery
Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu
We investigate oriented bond-site percolation on the planar lattice in which entire columns are stretched. Generalising recent results by Hilário et al., we establish non-trivial p…
Throughput in inhomogeneous planar drainage networks
Partha Pratim Ghosh, Benedikt Jahnel, Yannic Steenbeck
We consider navigation schemes on planar diluted lattices and semi lattices with one discrete and one continuous component. More precisely, nodes that survive inhomogeneous Bernoul…
Phase transitions for the Widom--Rowlinson model in random environments
Benedikt Jahnel, Daniel Kamecke
We establish non-uniqueness regimes for the infinite-volume two-colored Widom--Rowlinson model based on inhomogeneous Poisson point processes with locally finite intensity measures…
Phase transitions for contact processes on sparse random graphs via metastability and local limits
Benedikt Jahnel, Lukas Lüchtrath, Christian Mönch
We propose a new perspective on the asymptotic regimes of fast and slow extinction in the contact process on locally converging sequences of sparse finite graphs. We characterise t…
Phase transitions for contact processes on one-dimensional networks
Benedikt Jahnel, Lukas Lüchtrath, Christian Mönch
We study the survival/extinction phase transition for contact processes with quenched disorder. The disorder is given by a locally finite random graph with vertices indexed by the…