Perturbation theory for random walk in asymmetric random environment.
Conlon, Joseph G. (2005)
The New York Journal of Mathematics [electronic only]
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Conlon, Joseph G. (2005)
The New York Journal of Mathematics [electronic only]
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Thomas Mountford, Pierre Tarrès (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a model of the shape of a growing polymer introduced by Durrett and Rogers ( (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process (corresponding to the location of the end of the polymer at time ) for a particular type of repelling interaction function without compact support.
Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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Kilian Raschel (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a family of random walks killed at the boundary of the Weyl chamber of the dual of Sp(4), which in addition satisfies the following property: for any ≥ 3, there is in this family a walk associated with a reflection group of order 2. Moreover, the case = 4 corresponds to a process which appears naturally by studying quantum random walks on the dual of Sp(4). For all the processes belonging to this family, we find the exact asymptotic of the Green functions along all infinite...
Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in 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...
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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