Diffusions in random environment and ballistic behavior
Tom Schmitz (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “On the speed of a planar random walk avoiding its past convex hull”
Diffusions in random environment and ballistic behavior
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Amine Asselah, Fabienne Castell (2007)
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Limit theorems for subcritical branching processes in random environment
Jochen Geiger, Götz Kersting, Vladimir A. Vatutin (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Aging for interacting diffusion processes
Amir Dembo, Jean-Dominique Deuschel (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Averaged large deviations for random walk in a random environment
Atilla Yilmaz (2010)
Annales de l'I.H.P. Probabilités et statistiques
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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...