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Some Sufficient Conditions for Infinite Collisions of Simple Random Walks on a Wedge Comb


 
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1. Title Title of document Some Sufficient Conditions for Infinite Collisions of Simple Random Walks on a Wedge Comb
 
2. Creator Author's name, affiliation, country Xinxing Chen; Shanghai Jiaotong University; China
 
2. Creator Author's name, affiliation, country Dayue Chen; Peking University; China
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) wedge comb, simple random walk, infinite collision property, local time
 
3. Subject Subject classification 60J10; 60K37
 
4. Description Abstract In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile $\{f(n):n\in\mathbb{Z}\}$. One interesting result is that two independent simple random walks on the wedge comb will collide infinitely many times if $f(n)$ has a growth order as $n\log(n)$. On the other hand, if $\{f(n):n\in\mathbb{Z}\}$ are given by i.i.d. non-negative random variables with finite mean, then for almost all wedge combs with such profile, three independent simple random walks on it will collide infinitely many times
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Xinxing Chen is partially supported by the NSFC grant No. 11001173; Dayue Chen is partially supported by the NSFC grant No. 10625101 and the 973 grant No. 2011CB808000.
 
7. Date (YYYY-MM-DD) 2011-08-09
 
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/907
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-907
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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