论文标题
在周期性和本地周期性环境中，马尔可夫跳跃过程的大偏差很大
Large Deviations for Markov jump processes in periodic and locally periodic environments
论文作者
论文摘要
该论文涉及在具有周期性或本地周期性微观结构的介质中定义的跳跃马尔可夫过程的家族。我们假设该过程的发电机是零阶卷积类型运算符，其迅速振荡本地周期性系数，并且在自然椭圆度和定位条件下，该家族满足了配备有Skorokhod拓扑拓扑的路径空间中的较大偏差原理。相应的速率函数是根据辅助周期频谱问题的家族定义的。
The paper deals with a family of jump Markov process defined in a medium with a periodic or locally periodic microstructure. We assume that the generator of the process is a zero order convolution type operator with rapidly oscillating locally periodic coefficient and, under natural ellipticity and localization conditions, show that the family satisfies the large deviation principle in the path space equipped with Skorokhod topology. The corresponding rate function is defined in terms of a family of auxiliary periodic spectral problems.
