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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Displaying similar documents to “Internal diffusion-limited aggregation on non-amenable graphs.”
A log-scale limit theorem for one-dimensional random walks in random environments.
Central limit theorem for the excited random walk in dimension .
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Asymptotic behaviour of the simple random walk on the 2-dimensional comb.
Bertacchi, Daniela (2006)
Electronic Journal of Probability [electronic only]
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Non-perturbative approach to random walk in Markovian environment.
Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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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...
Functional CLT for random walk among bounded random conductances.
Biskup, Marek, Prescott, Timothy M. (2007)
Electronic Journal of Probability [electronic only]
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On the range of the simple random walk bridge on groups.
Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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Discrete random processes with memory: Models and applications
Tomáš Kouřim, Petr Volf (2020)
Applications of Mathematics
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The contribution focuses on Bernoulli-like random walks, where the past events significantly affect the walk's future development. The main concern of the paper is therefore the formulation of models describing the dependence of transition probabilities on the process history. Such an impact can be incorporated explicitly and transition probabilities modulated using a few parameters reflecting the current state of the walk as well as the information about the past path. The behavior...
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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Recurrent graphs where two independent random walks collide finitely often.
Krishnapur, Manjunath, Peres, Yuval (2004)
Electronic Communications in Probability [electronic only]
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The scaling limit of senile reinforced random walk.
Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Random walk attracted by percolation clusters.
Popov, Serguei, Vachkovskaia, Marina (2005)
Electronic Communications in Probability [electronic only]
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