Mathematics – Probability
Scientific paper
2011-02-08
Mathematics
Probability
39 pages, 6 figures
Scientific paper
Sinai's random walk in random environment shows interesting patterns on the
exponential time scale. We characterize the patterns that appear on infinitely
many time scales after appropriate rescaling (a functional law of iterated
logarithm). The curious rate function captures the difference between one-sided
and two-sided behavior.
Cheliotis Dimitris
Virag Balint
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