论文标题
动态平均随机电导的随机行走的不变性原理
Invariance principle for random walks on dynamically averaging random conductances
论文作者
论文摘要
我们证明了在$ \ mathbb z $上动态平均环境中连续时间随机步行的不变性原则。一开始，电导率可能会大大波动，但是我们假设随着时间的流逝，根据典型的扩散缩放尺度的波动减少，最终接近恒定单位电导。证明依赖于标准连续时间简单随机步行的耦合。
We prove an invariance principle for continuous-time random walks in a dynamically averaging environment on $\mathbb Z$. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, the fluctuations decrease according to a typical diffusive scaling and eventually approach constant unit conductances. The proof relies on a coupling with the standard continuous time simple random walk.
