A local limit theorem in stationary random environment of conductances on Z
Probability
2014-09-16 v3
Abstract
We prove a local limit theorem for nearest neighbours random walks in stationary random environment of conductances on Z without using any of both classic assumptions of uniform ellipticity and independence on the conductances. Besides the central limit theorem, we use discrete differential "Nash-type inequalities" associated with the Hausdorff's representation of the completely decreasing sequences.
Keywords
Cite
@article{arxiv.1302.0225,
title = {A local limit theorem in stationary random environment of conductances on Z},
author = {Jean-Marc Derrien},
journal= {arXiv preprint arXiv:1302.0225},
year = {2014}
}
Comments
text in French. Title in French: Un th\'eor\`eme limite local en environnement al\'eatoire stationnaire de conductances sur Z