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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Displaying similar documents to “The mathematics of suspensions: Kac walks and asymptotic analyticity.”
The longtime behavior of branching random walk in a catalytic medium.
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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...
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Electronic Journal of Probability [electronic only]
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