Invariance principle for the random conductance model with dynamic bounded conductances
Invariance principle for the random conductance model with dynamic bounded conductances
复制标题
具有动态有界电导的随机电导模型的不变性原理
DOI：
10.1214/12-aihp527
复制
发表时间：
2012
影响因子：
1.5
通讯作者：
S. Andres
中科院分区：
文献类型：
--
作者：
S. Andres
我们研究了动态随机电导环境中的连续时间随机游动X。我们假设电导是平稳的、遍历的、一致有界的、有界的、远离零的、在空间和时间上多项式混合的。证明了X的一个熄灭不变原理，得到了格林函数的界和一个局部极限定理。我们还讨论了与随机界面模型的联系。
We study a continuous time random walk X in an environment of dynamic random conductances. We assume that the conductances are stationary ergodic, uniformly bounded and bounded away from zero and polynomially mixing in space and time. We prove a quenched invariance principle for X, and obtain Green's functions bounds and a local limit theorem. We also discuss a connection to stochastic interface models.