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A log-scale limit theorem for one-dimensional random walks in random environments

Probability 2007-05-23 v1

Abstract

We consider a random walk X_n in non-i.i.d. environment and show that the ratio of log X_n to log n converges in probability to a positive constant.

Keywords

Cite

@article{arxiv.math/0408056,
  title  = {A log-scale limit theorem for one-dimensional random walks in random environments},
  author = {Alexander Roitershtein},
  journal= {arXiv preprint arXiv:math/0408056},
  year   = {2007}
}

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9 pages