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Recurrence for vertex-reinforced random walks on Z with weak reinforcements.


 
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1. Title Title of document Recurrence for vertex-reinforced random walks on Z with weak reinforcements.
 
2. Creator Author's name, affiliation, country Arvind Singh; CNRS - Université Paris-Sud; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Self-interacting random walk; reinforcement; recurrence and transience
 
3. Subject Subject classification 60K35
 
4. Description Abstract We prove that any vertex-reinforced random walk on the integer lattice with non-decreasing reinforcement sequence $w$ satisfying $w(k) = o(k^{\alpha})$ for some $\alpha <1/2$ is recurrent. This improves on previous results of Volkov (2006) and Schapira (2012).
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ANR MEMEMO 2 (2010 BLAN 0125 02)
 
7. Date (YYYY-MM-DD) 2014-03-03
 
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/3242
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3242
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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