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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Fernández, Roberto, Ferrari, Pablo A., Guerberoff, Gustavo R. (2005)
Mathematical Physics Electronic Journal [electronic only]
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Gravner, Janko, Holroyd, Alexander E. (2009)
Electronic Journal of Probability [electronic only]
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François Bolley (2010)
ESAIM: Probability and Statistics
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We consider the approximation of a mean field stochastic process by a large interacting particle system. We derive non-asymptotic large deviation bounds measuring the concentration of the empirical measure of the paths of the particles around the law of the process. The method is based on a coupling argument, strong integrability estimates on the paths in Hölder norm, and a general concentration result for the empirical measure of identically distributed independent paths. ...
Atar, Rami, Athreya, Siva, Kang, Min (2001)
Electronic Communications in Probability [electronic only]
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Bianchi, Alessandra, Bovier, Anton, Ioffe, Dmitry (2009)
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...
Rolla, Leonardo T., Teixeira, Augusto Q. (2008)
Electronic Communications in Probability [electronic only]
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Knight, Frank B. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Broman, Erik I., Camia, Federico (2008)
Electronic Journal of Probability [electronic only]
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Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Kordzakhia, George (2005)
Electronic Communications in Probability [electronic only]
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