Perturbing transient random walk in a random environment with cookies of maximal strength

Elisabeth Bauernschubert

Annales de l'I.H.P. Probabilités et statistiques (2013)

  • Volume: 49, Issue: 3, page 638-653
  • ISSN: 0246-0203

Abstract

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We consider a left-transient random walk in a random environment on that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.

How to cite

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Bauernschubert, Elisabeth. "Perturbing transient random walk in a random environment with cookies of maximal strength." Annales de l'I.H.P. Probabilités et statistiques 49.3 (2013): 638-653. <http://eudml.org/doc/272071>.

@article{Bauernschubert2013,
abstract = {We consider a left-transient random walk in a random environment on $\mathbb \{Z\}$ that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.},
author = {Bauernschubert, Elisabeth},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {excited random walk in a random environment; cookies of strength 1; recurrence; transience; subcritical branching process in a random environment with immigration},
language = {eng},
number = {3},
pages = {638-653},
publisher = {Gauthier-Villars},
title = {Perturbing transient random walk in a random environment with cookies of maximal strength},
url = {http://eudml.org/doc/272071},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Bauernschubert, Elisabeth
TI - Perturbing transient random walk in a random environment with cookies of maximal strength
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2013
PB - Gauthier-Villars
VL - 49
IS - 3
SP - 638
EP - 653
AB - We consider a left-transient random walk in a random environment on $\mathbb {Z}$ that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.
LA - eng
KW - excited random walk in a random environment; cookies of strength 1; recurrence; transience; subcritical branching process in a random environment with immigration
UR - http://eudml.org/doc/272071
ER -

References

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