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math.PR2024
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…
math.PR2024
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…
math.PR2024
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…