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Branching random walk in random environment on trees

Author

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  • Machado, F. P.
  • Popov, S. Yu.

Abstract

We study a supercritical branching random walk on a rooted tree with random environment. We are interested in the case where both the branching and the step transition parameters are random quantities. Criteria of (strong) recurrence and (strong) transience are presented for this model.

Suggested Citation

  • Machado, F. P. & Popov, S. Yu., 2003. "Branching random walk in random environment on trees," Stochastic Processes and their Applications, Elsevier, vol. 106(1), pages 95-106, July.
    • Handle: RePEc:eee:spapps:v:106:y:2003:i:1:p:95-106
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    References listed on IDEAS

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    1. Machado, F. P. & Menshikov, M. V. & Popov, S. Yu., 2001. "Recurrence and transience of multitype branching random walks," Stochastic Processes and their Applications, Elsevier, vol. 91(1), pages 21-37, January.
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    Cited by:

    1. Onur Gün & Wolfgang König & Ozren Sekulović, 2015. "Moment Asymptotics for Multitype Branching Random Walks in Random Environment," Journal of Theoretical Probability, Springer, vol. 28(4), pages 1726-1742, December.

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