4 papers · 1 filter
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…
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…
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: 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…