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Random Walks in a Dirichlet Environment


 
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1. Title Title of document Random Walks in a Dirichlet Environment
 
2. Creator Author's name, affiliation, country Christophe Sabot; Université Lyon 1
 
2. Creator Author's name, affiliation, country Nathanaël Enriquez; Université Paris 6
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random Walks, Random Environments, Dirichlet Laws, Reinforced Random Walks
 
3. Subject Subject classification 60K37,82D30
 
4. Description Abstract This paper states a law of large numbers for a random walk in a random iid environment on $Z^d$, where the environment follows some Dirichlet distribution. Moreover, we give explicit bounds for the asymptotic velocity of the process and also an asymptotic expansion of this velocity at low disorder.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) CNRS
 
7. Date (YYYY-MM-DD) 2006-09-01
 
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/350
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-350
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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