### Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks

Elisabeth Bauernschubert

#### 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.

#### Article information

Source
Adv. in Appl. Probab., Volume 46, Number 3 (2014), 687-703.

Dates
First available in Project Euclid: 29 August 2014

https://projecteuclid.org/euclid.aap/1409319555

Digital Object Identifier
doi:10.1239/aap/1409319555

Mathematical Reviews number (MathSciNet)
MR3254337

Zentralblatt MATH identifier
1303.60075

#### Citation

Bauernschubert, Elisabeth. Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks. Adv. in Appl. Probab. 46 (2014), no. 3, 687--703. doi:10.1239/aap/1409319555. https://projecteuclid.org/euclid.aap/1409319555

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