Translator Disclaimer
2008 Positively and negatively excited random walks on integers, with branching processes
Elena Kosygina, Martin Zerner
Author Affiliations +
Electron. J. Probab. 13: 1952-1979 (2008). DOI: 10.1214/EJP.v13-572

Abstract

We consider excited random walks on the integers with a bounded number of i.i.d. cookies per site which may induce drifts both to the left and to the right. We extend the criteria for recurrence and transience by M. Zerner and for positivity of speed by A.-L. Basdevant and A. Singh to this case and also prove an annealed central limit theorem. The proofs are based on results from the literature concerning branching processes with migration and make use of a certain renewal structure.

Citation

Download Citation

Elena Kosygina. Martin Zerner. "Positively and negatively excited random walks on integers, with branching processes." Electron. J. Probab. 13 1952 - 1979, 2008. https://doi.org/10.1214/EJP.v13-572

Information

Accepted: 6 November 2008; Published: 2008
First available in Project Euclid: 1 June 2016

zbMATH: 1191.60113
MathSciNet: MR2453552
Digital Object Identifier: 10.1214/EJP.v13-572

Subjects:
Primary: 60K35
Secondary: 60J80, 60K37

JOURNAL ARTICLE
28 PAGES


SHARE
Vol.13 • 2008
Back to Top