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A random walk with a branching system in random environments

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Science in China Series A: Mathematics, 50 (5): 698--704 (апреля 2007)

Аннотация

Abstract  We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on ℤ with a random environment (in locations). Weobtain the asymptotic properties on the position of the rightmost particle at time n, revealing a phase transition phenomenon of the system.

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