Subcritical branching processes in a two-state random environment, and a percolation problem on trees
- 1 December 1987
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 24 (4) , 798-808
- https://doi.org/10.2307/3214206
Abstract
We determine the decay rate of the survival probability of subcritical branching processes in a two-state random environment, where one state is subcritical, the other supercritical. This result is applied to obtain the asymptotic behavior (as n →∞) of the number of different words of length n occurring on the binary, and generally the b-ary, tree with Bernoulli percolation.Keywords
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