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Correlation Inequalities for Edge-Reinforced Random Walk


 
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1. Title Title of document Correlation Inequalities for 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; Technische Universität München; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) reinforced random walk; FKG inequalities; spanning trees
 
3. Subject Subject classification 60E15; 82B41; 60K35
 
4. Description Abstract We prove correlation inequalities for linearly edge-reinforced random walk. These correlation inequalities concern the first entry tree, i.e. the tree of edges used to enter any vertex for the first time. They also involve the asymptotic fraction of time spent on particular edges. Basic ingredients are known FKG-type inequalities and known negative associations for determinantal processes.
 
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7. Date (YYYY-MM-DD) 2011-11-23
 
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/1683
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1683
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
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