Displaying similar documents to “The jammed phase of the Biham-Middleton-Levine traffic model.”

On the small maximal flows in first passage percolation

Marie Théret (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider the standard first passage percolation on d : 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...