Large deviations for a random walk in dynamical random environment
Irina Ignatiouk-Robert (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Large deviations for a random walk in dynamical random environment
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Zachary, Stan, Foss, S.G. (2006)
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Scaling limit of the random walk among random traps on ℤd
Jean-Christophe Mourrat (2011)
Annales de l'I.H.P. Probabilités et statistiques
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Attributing a positive value to each ∈ℤ, we investigate a nearest-neighbour random walk which is reversible for the measure with weights ( ), often known as “Bouchaud’s trap model.” We assume that these weights are independent, identically distributed and non-integrable random variables (with polynomial tail), and that ≥5. We obtain the quenched subdiffusive scaling limit of the model, the limit being the fractional kinetics process. We begin our proof...