3 citations · 11 across the 18 of their papers we have counts for
30 papers · 1 filter
Restriction and mixing properties of interacting particle systems with unbounded range
Benedikt Jahnel, Jonas Köppl
We consider interacting particle systems with unbounded interaction range on general countably infinite graphs and prove explicit non-asymptotic error bounds for approximations…
Detection, coverage and percolation in dynamic Boolean models with random radii based on -stable processes
Peter Gracar, Benedikt Jahnel, Lukas Lüchtrath +1
We consider a dynamic network in continuum time and space in which nodes, with initial locations given by a Poisson point process, move according to i.i.d. isotropic -stable pro…
Reversible birth-and-death dynamics in continuum: a de Bruijn-type identity for free-energy dissipation
Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck +1
We investigate free-energy dissipation in a continuous-time birth-and-death dynamics in . For these Markov processes, the class of reversible measures coincides with…
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…