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A local limit theorem in stationary random environment of conductances on Z (1302.0225v3)
Published 1 Feb 2013 in math.PR
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.