论文标题
多环形诺亚斯：一种针对电流极值的第一转变方法
Multicyclic norias: a first-transition approach to extreme values of the currents
论文作者
论文摘要
对于连续时间马尔可夫连锁店，我们证明，根据有效亲和力$ f $的概念，如果$ f <0 $ f <0 $ \ sim \ sim \ exp -f $，边缘电流的概率是$ 1 $。结果将``Noria''公式概括为多环网络。我们提供了有关有效亲和力的操作见解，并比较了几个估计器，认为停止问题可能更准确地评估系统的非平衡性质，根据当地观察者的说法。最后，我们详细介绍了与Boltzmann公式的相似性。结果基于一种建设性的第一转变方法。
For continuous-time Markov chains we prove that, depending on the notion of effective affinity $F$, the probability of an edge current to ever become negative is either $1$ if $F< 0$ else $\sim \exp - F$. The result generalizes a ``noria'' formula to multicyclic networks. We give operational insights on the effective affinity and compare several estimators, arguing that stopping problems may be more accurate in assessing the nonequilibrium nature of a system according to a local observer. Finally we elaborate on the similarity with the Boltzmann formula. The results are based on a constructive first-transition approach.
