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Large Deviations of Jump Process Fluxes
Mathematical Physics, Analysis and Geometry ( IF 0.9 ) Pub Date : 2019-09-01 , DOI: 10.1007/s11040-019-9318-4
Robert I. A. Patterson , D. R. Michiel Renger

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.

中文翻译:

跳跃过程通量的大偏差

我们研究了一个相互作用的粒子系统,这些粒子随机反应形成新粒子。反应通量是重新调整后的时间间隔内发生的反应数量。我们在包括质量作用动力学的一般假设下证明了反应通量的动态大偏差原理。该结果立即意味着经验浓度的动态大偏差。
更新日期:2019-09-01
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