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Recurrence and Transience of Critical Branching Processes in Random Environment with Immigration and an Application to Excited Random Walks
Published online by Cambridge University Press: 22 February 2016
Abstract
We establish recurrence and transience criteria for critical branching processes in random environments with immigration. These results are then applied to the recurrence and transience of a recurrent random walk in a random environment on ℤ disturbed by cookies inducing a drift to the right of strength 1.
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- Type
- General Applied Probability
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- © Applied Probability Trust
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