An oriented competition model on .
Lalley, Steven P., Kordzakhia, George (2008)
Electronic Communications in Probability [electronic only]
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Lalley, Steven P., Kordzakhia, George (2008)
Electronic Communications in Probability [electronic only]
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Broman, Erik I., Camia, Federico (2008)
Electronic Journal of Probability [electronic only]
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Gravner, Janko (1996)
Electronic Journal of Probability [electronic only]
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Kesten, H., Sidoravicius, V., Zhang, Y. (1998)
Electronic Journal of Probability [electronic only]
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van Rensburg, E.J.Janse, Rechnitzer, A. (2002)
The Electronic Journal of Combinatorics [electronic only]
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Lalley, Steven P. (2003)
Electronic Communications in Probability [electronic only]
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Marie Théret (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We consider the standard first passage percolation on : with each edge of the lattice we associate a random capacity. We are interested in the maximal flow through a cylinder in this graph. Under some assumptions Kesten proved in 1987 a law of large numbers for the rescaled flow. Chayes and Chayes established that the large deviations far away below its typical value are of surface order, at least for the Bernoulli percolation and cylinders of certain height. Thanks to another approach...
Dumitriu, Ioana, Rassart, Etienne (2003)
The Electronic Journal of Combinatorics [electronic only]
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Steven P. Lalley (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Rolla, Leonardo T., Teixeira, Augusto Q. (2008)
Electronic Communications in Probability [electronic only]
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Klee, Steven, Pudwell, Lara, Gillman, Rick (2004)
International Journal of Mathematics and Mathematical Sciences
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