Random walks with -wise independent increments.
Benjamini, Itai, Kozma, Gady, Romik, Dan (2006)
Electronic Communications in Probability [electronic only]
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Benjamini, Itai, Kozma, Gady, Romik, Dan (2006)
Electronic Communications in Probability [electronic only]
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Belhaouari, S., Mountford, T., Sun, Rongfeng, Valle, G. (2006)
Electronic Journal of Probability [electronic only]
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Wolfgang König (2010)
Actes des rencontres du CIRM
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The asymptotics of the probability that the self-intersection local time of a random walk on exceeds its expectation by a large amount is a fascinating subject because of its relation to some models from Statistical Mechanics, to large-deviation theory and variational analysis and because of the variety of the effects that can be observed. However, the proof of the upper bound is notoriously difficult and requires various sophisticated techniques. We survey some heuristics and some...
Sellke, Thomas (2006)
Electronic Journal of Probability [electronic only]
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Zachary, Stan, Foss, S.G. (2006)
Sibirskij Matematicheskij Zhurnal
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Müller, Sebastian (2008)
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...
François Simenhaus (2007)
Annales de l'I.H.P. Probabilités et statistiques
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