On infection spreading and competition between independent random walks.
Kurkova, I., Popov, S., Vachkovskaia, M. (2004)
Electronic Journal of Probability [electronic only]
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Kurkova, I., Popov, S., Vachkovskaia, M. (2004)
Electronic Journal of Probability [electronic only]
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Alves, Oswaldo, Machado, Fábio, Popov, Serguei (2002)
Electronic Journal of Probability [electronic only]
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Pablo A. Ferrari, Patricia Gonçalves, James B. Martin (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate ∈(1/2, 1] and to the left at rate 1−, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occupied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converges to the rarefaction fan of the associated Burgers equation. In particular suppose...
González, Miguel, del Puerto, Inés Maria (2010)
Boletín de Estadística e Investigación Operativa
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Ferrari, Pablo A., Marić, Nevena (2007)
Electronic Journal of Probability [electronic only]
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Penrose, Mathew D. (2008)
Probability Surveys [electronic only]
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Guiol, H., Ravishankar, K., Saada, E. (2003)
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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P. A. Ferrari, C. Kipnis (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Mitov, Kosto (2011)
Union of Bulgarian Mathematicians
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Косто В. Митов - Разклоняващите се стохастични процеси са модели на популационната динамика на обекти, които имат случайно време на живот и произвеждат потомци в съответствие с дадени вероятностни закони. Типични примери са ядрените реакции, клетъчната пролиферация, биологичното размножаване, някои химични реакции, икономически и финансови явления. В този обзор сме се опитали да представим съвсем накратко някои от най-важните моменти и факти от историята, теорията и приложенията на...
Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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