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Recurrence and transience of excited random walks on $Z^d$ and strips


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Recurrence and transience of excited random walks on $Z^d$ and strips
 
2. Creator Author's name, affiliation, country Martin P.W. Zerner; University of Tuebingen
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Excited Random Walk, Recurrence, Self-Interacting Random Walk, Transience
 
3. Subject Subject classification 60K35, 60K37, 60J10
 
4. Description 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 $Z$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-07-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1200
 
10. Identifier Digital Object Identifier 10.1214/ECP.v11-1200
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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