6 papers · 1 filter
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…
On the stationary measures of the critical Ornstein--Uhlenbeck process
Jean-Dominique Deuschel, Jonas Köppl, Yannic Steenbeck +1
We study linear and symmetric diffusion processes on that can be seen as the Langevin dynamics of the (inhomogeneous) harmonic crystal for given conduct…
Asymptotically complete free-energy dissipation: a coarse MLSI holds at any positive temperature
Jonas Köppl, Yannic Steenbeck
Everybody learns in school that an out-of-equilibrium system coupled to a heat bath at a fixed temperature evolves to thermodynamic equilibrium as time goes on, and the free energy…
The variational principle for a marked Gibbs point process with infinite-range multibody interactions
Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck +1
We prove the Gibbs variational principle for the Asakura--Oosawa model in which particles of random size obey a hardcore constraint of non-overlap and are additionally subject to a…
Survival and extinction for a contact process with a density-dependent birth rate
Jonas Köppl, Nicolas Lanchier, Max Mercer
To study later spatial evolutionary games based on the multitype contact process, we first focus in this paper on the conditions for survival/extinction in the presence of only one…
Time-periodic behaviour in one- and two-dimensional interacting particle systems
Jonas Köppl, Benedikt Jahnel
We provide a class of examples of interacting particle systems on , for , that admit a unique translation-invariant stationary measure, which is not the…