Journal
PROBABILITY THEORY AND RELATED FIELDS
Volume 149, Issue 3-4, Pages 463-491Publisher
SPRINGER
DOI: 10.1007/s00440-010-0261-3
Keywords
Large deviations; Random walk; Random environment; Disordered media; Renewal theorem
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We consider large deviations for nearest-neighbor random walk in a uniformly elliptic i.i.d. environment. It is easy to see that the quenched and the averaged rate functions are not identically equal. When the dimension is at least four and Sznitman's transience condition (T) is satisfied, we prove that these rate functions are finite and equal on a closed set whose interior contains every nonzero velocity at which the rate functions vanish.
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