Open Access
Translator Disclaimer
2006 Recurrence and transience of excited random walks on $Z^d$ and strips
Martin Zerner
Author Affiliations +
Electron. Commun. Probab. 11: 118-128 (2006). DOI: 10.1214/ECP.v11-1200

Abstract

We investigate excited random walks on $Z^d, d\ge 1,$ and on planar strips $Z\times{0,1,\ldots,L-1}$ which have a drift in a given direction. The strength of the drift may depend on a random i.i.d. environment and on the local time of the walk. We give exact criteria for recurrence and transience, thus generalizing results by Benjamini and Wilson for once-excited random walk on $Z^d$ and by the author for multi-excited random walk on $Z$.

Citation

Download Citation

Martin Zerner. "Recurrence and transience of excited random walks on $Z^d$ and strips." Electron. Commun. Probab. 11 118 - 128, 2006. https://doi.org/10.1214/ECP.v11-1200

Information

Accepted: 7 July 2006; Published: 2006
First available in Project Euclid: 4 June 2016

zbMATH: 1112.60086
MathSciNet: MR2231739
Digital Object Identifier: 10.1214/ECP.v11-1200

Subjects:
Primary: 60K35
Secondary: 60J10, 60K37

JOURNAL ARTICLE
11 PAGES


SHARE
Back to Top