Branching Random Walks with Bounded Steps in Random Environments

ZHANG Xiaoyue; ZHANG Meijuan

doi:10.3969/j.issn.1001-4268.2021.01.006

ZHANG Xiaoyue, ZHANG Meijuan. Branching Random Walks with Bounded Steps in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(1): 47-58. DOI: 10.3969/j.issn.1001-4268.2021.01.006

Citation:

ZHANG Xiaoyue, ZHANG Meijuan. Branching Random Walks with Bounded Steps in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(1): 47-58. DOI: 10.3969/j.issn.1001-4268.2021.01.006

Citation:

ZHANG Xiaoyue, ZHANG Meijuan. Branching Random Walks with Bounded Steps in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2021, 37(1): 47-58. DOI: 10.3969/j.issn.1001-4268.2021.01.006

Branching Random Walks with Bounded Steps in Random Environments

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We consider a branching random walk with bounded steps in random environments, where the particles are produced as a branching process with a random environment in time, and move independently as a random walk with bounded steps on \mathbbZ with a random environment in location. We study the speed of the rightmost particle, conditionally on the survival of the branching process.

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Branching Random Walks with Bounded Steps in Random Environments

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