Corpus ID: 119167377

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

  title={A local limit theorem in stationary random environment of conductances on Z},
  author={J. Derrien},
  journal={arXiv: Probability},
  • J. Derrien
  • Published 2013
  • Mathematics
  • arXiv: Probability
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. 
1 Citations
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