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Positively and negatively excited random walks on integers, with branching processes


 
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1. Title Title of document Positively and negatively excited random walks on integers, with branching processes
 
2. Creator Author's name, affiliation, country Elena Kosygina; Baruch College and the CUNY Graduate Center
 
2. Creator Author's name, affiliation, country Martin P.W. Zerner; University of Tuebingen
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Central limit theorem; excited random walk; law of large numbers; positive and negative cookies; recurrence; renewal structure; transience.
 
3. Subject Subject classification 60K35; 60K37; 60J80
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) E. Kosygina's work was partially supported by the CUNY Research Foundation, PSC-CUNY award # 69580-00-38.
 
7. Date (YYYY-MM-DD) 2008-11-06
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/572
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-572
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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