The longtime behavior of branching random walk in a catalytic medium.
Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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Greven, A., Klenke, A., Wakolbinger, A. (1999)
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Ferrari, P.A., Fontes, L.R.G. (1998)
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Fleischmann, Klaus, Greven, Andreas (1996)
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Lawler, Gregory F. (1996)
Electronic Journal of Probability [electronic only]
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Brannan, James R., Duan, Jinqiao, Ervin, Vincent J. (2001)
Mathematical Problems in Engineering
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Beffara, Vincent, Friedli, Sacha, Velenik, Yvan (2010)
Electronic Communications in Probability [electronic only]
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Davis, Burgess (1998)
The New York Journal of Mathematics [electronic only]
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Alves, Oswaldo, Machado, Fábio, Popov, Serguei (2002)
Electronic Journal of Probability [electronic only]
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Nikita Ratanov (2006)
ESAIM: Probability and Statistics
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A branching random motion on a line, with abrupt changes of direction, is studied. The branching mechanism, being independent of random motion, and intensities of reverses are defined by a particle's current direction. A solution of a certain hyperbolic system of coupled non-linear equations (Kolmogorov type backward equation) has a so-called McKean representation such processes. Commonly this system possesses travelling-wave solutions. The convergence of solutions with Heaviside...
Dawson, Donald A., Greven, Andreas (1996)
Electronic Journal of Probability [electronic only]
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(2010)
Actes des rencontres du CIRM
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Lyne, Owen D., Williams, David (2001)
Electronic Journal of Probability [electronic only]
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