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

@article{Derrien2013ALL, title={A local limit theorem in stationary random environment of conductances on Z}, author={J. Derrien}, journal={arXiv: Probability}, year={2013} }

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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