Branching diffusions, superdiffusions and random media.
Engländer, János (2007)
Probability Surveys [electronic only]
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Engländer, János (2007)
Probability Surveys [electronic only]
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Lyne, Owen D., Williams, David (2001)
Electronic Journal of Probability [electronic only]
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Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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J. W. Harris, S. C. Harris, A. E. Kyprianou (2006)
Annales de l'I.H.P. Probabilités et statistiques
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A. E. Kyprianou (2004)
Annales de l'I.H.P. Probabilités et statistiques
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János Engländer (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We study a spatial branching model, where the underlying motion is -dimensional (≥1) brownian motion and the branching rate is affected by a random collection of reproduction suppressing sets dubbed . The main result of this paper is the quenched law of large numbers for the population for all ≥1. We also show that the branching brownian motion with mild obstacles than ordinary branching brownian motion by giving an upper estimate on its speed. When the underlying motion is an arbitrary...
Kaur, Inderpreet, Mentrelli, Andrea, Bosseur, Frederic, Filippi, Jean Baptiste, Pagnini, Gianni
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A novel approach to study the propagation of fronts with random motion is presented. This approach is based on the idea to consider the motion of the front, split into a drifting part and a fluctuating part; the front position is also split correspondingly. In particular, the drifting part can be related to existing methods for moving interfaces, for example, the Eulerian level set method and the Lagrangian discrete event system specification. The fluctuating part is the result of a...
Eckstein, Eugene C., Goldstein, Jerome A., Leggas, Mark (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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