3 citations · 20 across the 38 of their papers we have counts for
6 papers · 2 filters
Comparison inequalities for discrete- and continuous-time infection processes
Benedikt Jahnel, Jonas Köppl, Pēteris Siliņš
We study comparison inequalities for contact-process-type infection dynamics on with general local transmission mechanisms. The processes considered include both disc…
Convex order and faster transmission in first contact percolation
Benedikt Jahnel, Jonas Köppl, Lukas Lüchtrath +1
Inspired by strict-monotonicity criteria for the time constant in first passage percolation, we investigate convex ordering of point processes in relation to the time constant in f…
Lattice random-field Widom--Rowlinson models
Benedikt Jahnel, Daniel Kamecke, Christof Külske
We consider the Widom--Rowlinson model on subject to a symmetric i.i.d.\ random field. We prove that for dimensions any non-trivial random field leads to an…
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…