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Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks (1301.5450v1)
Published 23 Jan 2013 in math.PR
Abstract: We establish recurrence and transience criteria for critical branching processes in random environment with immigration. These results are then applied to discuss recurrence and transience of a recurrent random walk in a random environment on Z that will be disturbed by cookies inducing a drift to the right of strength 1.
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