2018/02/08 by Robert Patterson, Michiel Renger · 1 citation
Mathematics · #math.PR #msc:60F10 #msc:82C22 #msc:60J25 #msc:80A30
paper · pdf · doi:10.1007/s11040-019-9318-4
arxiv created 2018/02/08 · arxiv updated 2019/10/02
We study a system of interacting particles that randomly react to form new particles. The reaction flux is the rescaled number of reactions that take place in a time interval. We prove a dynamic large-deviation principle for the reaction fluxes under general assumptions that include mass-action kinetics. This result immediately implies the dynamic large deviations for the empirical concentration.