退化遍历环境中随机电导模型的不变性原理
概率论
2019-01-17 v5
摘要
我们研究 上取值于 的随机电导环境中的连续时间随机游走 。假设电导的分布律关于空间平移是遍历的。我们在环境的某些矩条件下证明了 的淬火不变性原理。关于校正项次线性性的关键结果是通过 Moser 迭代方案获得的。
引用
@article{arxiv.1306.2521,
title = {Invariance principle for the random conductance model in a degenerate ergodic environment},
author = {Sebastian Andres and Jean-Dominique Deuschel and Martin Slowik},
journal= {arXiv preprint arXiv:1306.2521},
year = {2019}
}
备注
Published at http://dx.doi.org/10.1214/14-AOP921 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org); in this version a minor technical gap in the proof of Theorem 3.7 has been closed