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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Electronic Communications in Probability [electronic only]
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Electronic Communications in Probability [electronic only]
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Electronic Communications in Probability [electronic only]
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Electronic Journal of Probability [electronic only]
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The aim of this paper is to extend the well-known asymptotic shape result for first-passage percolation on to first-passage percolation on a random environment given by the infinite cluster of a supercritical Bernoulli percolation model. We prove the convergence of the renormalized set of wet vertices to a deterministic shape that does not depend on the realization of the infinite cluster. As a special case of our result, we obtain an asymptotic shape theorem for the chemical distance...
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Annales de l'I.H.P. Probabilités et statistiques
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Electronic Communications in Probability [electronic only]
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