Invariance principle for the random conductance model with unbounded conductances

M. T. Barlow; J. -D. Deuschel

doi:10.1214/09-AOP481

Invariance principle for the random conductance model with unbounded conductances

Probability 2010-01-27 v1

Authors: M. T. Barlow , J. -D. Deuschel

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Abstract

We study a continuous time random walk $X$ in an environment of i.i.d. random conductances $\mu_e\in[1,\infty)$ . We obtain heat kernel bounds and prove a quenched invariance principle for $X$ . This holds even when ${\mathbb{E}}\mu_e=\infty$ .

Keywords

random conductance model invariance principle heat kernel bounds quenched invariance principle unbounded conductances continuous time random walk

Cite

@article{arxiv.1001.4702,
  title  = {Invariance principle for the random conductance model with unbounded conductances},
  author = {M. T. Barlow and J. -D. Deuschel},
  journal= {arXiv preprint arXiv:1001.4702},
  year   = {2010}
}

Comments

Published in at http://dx.doi.org/10.1214/09-AOP481 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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