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Displaying similar documents to “A log-scale limit theorem for one-dimensional random walks in random environments.”

Quenched limits for transient, ballistic, sub-gaussian one-dimensional random walk in random environment

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...