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Ends in Uniform Spanning Forests


 
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1. Title Title of document Ends in Uniform Spanning Forests
 
2. Creator Author's name, affiliation, country Russell Lyons; Indiana University
 
2. Creator Author's name, affiliation, country Benjamin J. Morris; U. Calif., Davis
 
2. Creator Author's name, affiliation, country Oded Schramm; Microsoft Research
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Spanning trees; Cayley graphs.
 
3. Subject Subject classification 60B99; 60D05; 20F32
 
4. Description Abstract It has hitherto been known that in a transitive unimodular graph, each tree in the wired spanning forest has only one end a.s. We dispense with the assumptions of transitivity and unimodularity, replacing them with a much broader condition on the isoperimetric profile that requires just slightly more than uniform transience.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) National Science Foundation
 
7. Date (YYYY-MM-DD) 2008-09-21
 
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/566
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-566
 
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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