Tail estimates for homogenization theorems in random media

Daniel Boivin

Tail estimates for homogenization theorems in random media

概率论 2007-05-23 v1

作者: Daniel Boivin

摘要

It is known that a random walk on $\Z^d$ among i.i.d. uniformly elliptic random bond conductances verifies a central limit theorem. It is also known that approximations of the covariance matrix can be obtained by considering periodic environments. Here we estimate the speed of convergence of this homogenization result. We obtain similar estimates for finite volume approximations of the effective conductance and of the lowest Dirichlet eigenvalue. A lower bound is also given for the variance of the Green function of a random walk in a random non-negative potential.

关键词

random walk in random environment random walks central limit theorem

引用

@article{arxiv.math/0607073,
  title  = {Tail estimates for homogenization theorems in random media},
  author = {Daniel Boivin},
  journal= {arXiv preprint arXiv:math/0607073},
  year   = {2007}
}

备注

26 pages

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