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Excited Random Walk


 
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1. Title Title of document Excited Random Walk
 
2. Creator Author's name, affiliation, country Itai Benjamini; Weizmann Institute, Rehovot 76100, Israel
 
2. Creator Author's name, affiliation, country David Bruce Wilson; Microsoft Research
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Perturbed random walk, transience
 
3. Subject Subject classification 60J10
 
4. Description Abstract A random walk on $\mathbb{Z}^d$ is excited if the first time it visits a vertex there is a bias in one direction, but on subsequent visits to that vertex the walker picks a neighbor uniformly at random. We show that excited random walk on $\mathbb{Z}^d$ is transient iff $d > 1$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2003-06-24
 
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/1072
 
10. Identifier Digital Object Identifier 10.1214/ECP.v8-1072
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 8
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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