A functional limit theorem for a 2D-random walk with dependent marginals.
Guillotin-Plantard, Nadine, Le Ny, Arnaud (2008)
Electronic Communications in Probability [electronic only]
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Guillotin-Plantard, Nadine, Le Ny, Arnaud (2008)
Electronic Communications in Probability [electronic only]
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Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Biskup, Marek, Prescott, Timothy M. (2007)
Electronic Journal of Probability [electronic only]
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Dombry, Clement, Guillotin-Plantard, Nadine (2009)
Electronic Journal of Probability [electronic only]
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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...
Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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Newman, Charles M., Ravishankar, Krishnamurthi, Sun, Rongfeng (2005)
Electronic Journal of Probability [electronic only]
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Bertacchi, Daniela (2006)
Electronic Journal of Probability [electronic only]
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Kosygina, Elena, Zerner, Martin P.W. (2008)
Electronic Journal of Probability [electronic only]
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Birkner, Matthias (2004)
Electronic Communications in Probability [electronic only]
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