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math.PR2026
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…
math.PR2026
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…
math.PR2026
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…