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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Angel, Omer, Holroyd, Alexander E., Martin, James B. (2005)
Electronic Communications in Probability [electronic only]
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Nordenstam, Eric J.G. (2010)
Electronic Journal of Probability [electronic only]
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Beffara, Vincent, Friedli, Sacha, Velenik, Yvan (2010)
Electronic Communications in Probability [electronic only]
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Khorunzhiy, Oleksiy, Marckert, Jean-François (2009)
Electronic Communications in Probability [electronic only]
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Penrose, Mathew D. (2008)
Probability Surveys [electronic only]
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Alves, Oswaldo, Machado, Fábio, Popov, Serguei (2002)
Electronic Journal of Probability [electronic only]
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Greven, Andreas, Limic, Vlada, Winter, Anita (2005)
Electronic Journal of Probability [electronic only]
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Bertacchi, Daniela (2006)
Electronic Journal of Probability [electronic only]
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Olivier Garet, Régine Marchand (2004)
ESAIM: Probability and Statistics
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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...
Fernández, Roberto, Ferrari, Pablo A., Guerberoff, Gustavo R. (2005)
Mathematical Physics Electronic Journal [electronic only]
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Kurkova, I., Popov, S., Vachkovskaia, M. (2004)
Electronic Journal of Probability [electronic only]
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