Diffusions in random environment and ballistic behavior
Tom Schmitz (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Diffusions in random environment and ballistic behavior
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In his 2003 paper, Varadhan proves the averaged large deviation principle for the mean velocity of a particle taking a nearest-neighbor random walk in a uniformly elliptic i.i.d. environment on ℤ with ≥1, and gives a variational formula for the corresponding rate function . Under Sznitman’s transience condition (), we show that is strictly convex and analytic on a non-empty open set , and that the true velocity of the particle is an element (resp. in...