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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

Elisabeth Bauernschubert*
Affiliation:
University of Tuebingen
*
Postal address: Mathematisches Institut, Eberhard Karls Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany. Email address: elisabeth.bauernschubert@uni-tuebingen.de
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Abstract

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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.

Type
General Applied Probability
Copyright
© Applied Probability Trust 

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