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September 2014 Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks
Elisabeth Bauernschubert
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Adv. in Appl. Probab. 46(3): 687-703 (September 2014). DOI: 10.1239/aap/1409319555

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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Elisabeth Bauernschubert. "Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks." Adv. in Appl. Probab. 46 (3) 687 - 703, September 2014. https://doi.org/10.1239/aap/1409319555

Information

Published: September 2014
First available in Project Euclid: 29 August 2014

zbMATH: 1303.60075
MathSciNet: MR3254337
Digital Object Identifier: 10.1239/aap/1409319555

Subjects:
Primary: 60J80
Secondary: 60J85, 60K37

Rights: Copyright © 2014 Applied Probability Trust

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Vol.46 • No. 3 • September 2014
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