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Bounding a Random Environment Bounding a Random Environment for Two-dimensional Edge-reinforced Random Walk


 
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1. Title Title of document Bounding a Random Environment Bounding a Random Environment for Two-dimensional Edge-reinforced Random Walk
 
2. Creator Author's name, affiliation, country Franz Merkl; University of Munich, Germany
 
2. Creator Author's name, affiliation, country Silke W.W. Rolles; Technical University of Munich
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Reinforced random walk; random environment
 
3. Subject Subject classification Primary 82B41; secondary 60K35; 60K37
 
4. Description Abstract We consider edge-reinforced random walk on the infinite two-dimensional lattice. The process has the same distribution as a random walk in a certain strongly dependent random environment, which can be described by random weights on the edges. In this paper, we show some decay properties of these random weights. Using these estimates, we derive bounds for some hitting probabilities of the edge-reinforced random walk.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2008-04-12
 
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/495
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-495
 
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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