A log-scale limit theorem for one-dimensional random walks in random environments.
Roitershtein, Alexander (2005)
Electronic Communications in Probability [electronic only]
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Roitershtein, Alexander (2005)
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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Bertacchi, Daniela (2006)
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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Jonathon Peterson (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a nearest-neighbor, one-dimensional random walk { } in a random i.i.d. environment, in the regime where the walk is transient with speed >0 and there exists an ∈(1, 2) such that the annealed law of ( − ) converges to a stable law of parameter . Under the quenched law (i.e., conditioned on the environment), we show that no limit laws are possible. In particular we show that there exist sequences...
Biskup, Marek, Prescott, Timothy M. (2007)
Electronic Journal of Probability [electronic only]
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Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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Guillotin-Plantard, Nadine, Le Ny, Arnaud (2008)
Electronic Communications in Probability [electronic only]
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Krishnapur, Manjunath, Peres, Yuval (2004)
Electronic Communications in Probability [electronic only]
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Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Popov, Serguei, Vachkovskaia, Marina (2005)
Electronic Communications in Probability [electronic only]
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