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arXiv · 1302.0225

A local limit theorem in stationary random environment of conductances on Z

Jean-Marc Derrien
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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.

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Jean-Marc Derrien. 2013-02-01. A local limit theorem in stationary random environment of conductances on Z. https://arxiv.org/abs/1302.0225

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